{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear Regression\n",
    "\n",
    "* [Pairs trading](https://www.quantopian.com/posts/pairs-trading-algorithm-1) is a famous technique in algorithmic trading that plays two stocks against each other.\n",
    "* For this to work, stocks must be correlated (cointegrated).\n",
    "* One common example is the price of gold (GLD) and the price of gold mining operations (GFI)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:31:55.554614Z",
     "start_time": "2018-12-27T20:31:53.699758Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import theano\n",
    "import pymc3 as pm\n",
    "from statsmodels.tsa.stattools import coint\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas_datareader.data as web"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple Linear Regression Demo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Artificial Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:31:55.560719Z",
     "start_time": "2018-12-27T20:31:55.556154Z"
    }
   },
   "outputs": [],
   "source": [
    "size = 200\n",
    "true_intercept = 1\n",
    "true_slope = 2\n",
    "\n",
    "x = np.linspace(0, 1, size)\n",
    "true_regression_line = true_intercept + true_slope * x\n",
    "y = true_regression_line + np.random.normal(scale=.5, size=size)\n",
    "\n",
    "x_shared = theano.shared(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model Definition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:31:59.954642Z",
     "start_time": "2018-12-27T20:31:55.561795Z"
    }
   },
   "outputs": [],
   "source": [
    "with pm.Model() as linear_regression: # model specification\n",
    "\n",
    "    # Define priors\n",
    "    sd = pm.HalfCauchy('sigma', beta=10, testval=1) # unique name for each variable\n",
    "    intercept = pm.Normal('intercept', 0, sd=20)\n",
    "    slope = pm.Normal('slope', 0, sd=20)\n",
    "\n",
    "    # Define likelihood\n",
    "    likelihood = pm.Normal('y', mu=intercept + slope * x_shared, sd=sd, observed=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:00.061160Z",
     "start_time": "2018-12-27T20:31:59.958617Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 2.40.1 (20161225.0304)\n",
       " -->\n",
       "<!-- Title: %3 Pages: 1 -->\n",
       "<svg width=\"503pt\" height=\"155pt\"\n",
       " viewBox=\"0.00 0.00 502.79 155.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 151)\">\n",
       "<title>%3</title>\n",
       "<polygon fill=\"#ffffff\" stroke=\"transparent\" points=\"-4,4 -4,-151 498.7866,-151 498.7866,4 -4,4\"/>\n",
       "<g id=\"clust1\" class=\"cluster\">\n",
       "<title>cluster200</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M217.4925,-8C217.4925,-8 313.4925,-8 313.4925,-8 319.4925,-8 325.4925,-14 325.4925,-20 325.4925,-20 325.4925,-71 325.4925,-71 325.4925,-77 319.4925,-83 313.4925,-83 313.4925,-83 217.4925,-83 217.4925,-83 211.4925,-83 205.4925,-77 205.4925,-71 205.4925,-71 205.4925,-20 205.4925,-20 205.4925,-14 211.4925,-8 217.4925,-8\"/>\n",
       "<text text-anchor=\"middle\" x=\"306.9925\" y=\"-15.8\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">200</text>\n",
       "</g>\n",
       "<!-- sigma -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>sigma</title>\n",
       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"84.4925\" cy=\"-129\" rx=\"84.485\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"84.4925\" y=\"-125.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">sigma ~ HalfCauchy</text>\n",
       "</g>\n",
       "<!-- y -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>y</title>\n",
       "<ellipse fill=\"#d3d3d3\" stroke=\"#000000\" cx=\"265.4925\" cy=\"-57\" rx=\"51.9908\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"265.4925\" y=\"-53.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">y ~ Normal</text>\n",
       "</g>\n",
       "<!-- sigma&#45;&gt;y -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>sigma&#45;&gt;y</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M124.6623,-113.0209C153.3886,-101.5938 192.0348,-86.2207 221.5764,-74.4694\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"223.2202,-77.5823 231.2184,-70.6339 220.6328,-71.078 223.2202,-77.5823\"/>\n",
       "</g>\n",
       "<!-- intercept -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>intercept</title>\n",
       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"265.4925\" cy=\"-129\" rx=\"78.7863\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"265.4925\" y=\"-125.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">intercept ~ Normal</text>\n",
       "</g>\n",
       "<!-- intercept&#45;&gt;y -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>intercept&#45;&gt;y</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M265.4925,-110.8314C265.4925,-103.131 265.4925,-93.9743 265.4925,-85.4166\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"268.9926,-85.4132 265.4925,-75.4133 261.9926,-85.4133 268.9926,-85.4132\"/>\n",
       "</g>\n",
       "<!-- slope -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>slope</title>\n",
       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"428.4925\" cy=\"-129\" rx=\"66.0889\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"428.4925\" y=\"-125.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">slope ~ Normal</text>\n",
       "</g>\n",
       "<!-- slope&#45;&gt;y -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>slope&#45;&gt;y</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M393.5249,-113.5542C368.1978,-102.3667 333.8542,-87.1966 307.1127,-75.3844\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"308.1968,-72.037 297.6352,-71.198 305.3684,-78.4402 308.1968,-72.037\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<graphviz.dot.Digraph at 0x7fc074094f98>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.model_to_graphviz(linear_regression)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### HMC Inference"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:21.879259Z",
     "start_time": "2018-12-27T20:32:00.066921Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [slope, intercept, sigma]\n",
      "Sampling 4 chains: 100%|██████████| 14000/14000 [00:10<00:00, 1336.55draws/s]\n"
     ]
    }
   ],
   "source": [
    "with linear_regression:\n",
    "    # Inference\n",
    "    trace = pm.sample(draws=2500, # draw 2500 samples from posterior using NUTS sampling\n",
    "                      tune=1000, \n",
    "                      cores=4) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Posterior Parameter Distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:23.231364Z",
     "start_time": "2018-12-27T20:32:21.880608Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.plot_posterior(trace);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear Regression for Pairs Trading\n",
    "Based on Thomas Wiecki's [rolling regression](https://docs.pymc.io/notebooks/GLM-rolling-regression.html) example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:34.018940Z",
     "start_time": "2018-12-27T20:32:23.232583Z"
    }
   },
   "outputs": [],
   "source": [
    "with pd.HDFStore('../data/assets.h5') as store:\n",
    "    stock_prices = store['quandl/wiki/prices'].adj_close.unstack().loc['2000':, ].resample('M').last()\n",
    "stock_returns = stock_prices.pct_change().dropna(axis=1, thresh=int(len(stock_prices)*.8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:34.167177Z",
     "start_time": "2018-12-27T20:32:34.020122Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 219 entries, 2000-01-31 to 2018-03-31\n",
      "Freq: M\n",
      "Columns: 2020 entries, A to ZQK\n",
      "dtypes: float64(2020)\n",
      "memory usage: 3.4 MB\n"
     ]
    }
   ],
   "source": [
    "stock_returns.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:32:34.783333Z",
     "start_time": "2018-12-27T20:32:34.168461Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>base</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DATE</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2009-01-31</th>\n",
       "      <td>-0.085657</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-02-28</th>\n",
       "      <td>-0.109931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-03-31</th>\n",
       "      <td>0.085405</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-04-30</th>\n",
       "      <td>0.093925</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-05-31</th>\n",
       "      <td>0.053081</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                base\n",
       "DATE                \n",
       "2009-01-31 -0.085657\n",
       "2009-02-28 -0.109931\n",
       "2009-03-31  0.085405\n",
       "2009-04-30  0.093925\n",
       "2009-05-31  0.053081"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "base_price = web.DataReader('SP500', data_source='fred', start='2008', end='2018-12-31')\n",
    "base_price = base_price.resample('M').last().dropna().squeeze().to_frame('base')\n",
    "base_returns = base_price.pct_change().dropna()\n",
    "base_returns.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:13.920783Z",
     "start_time": "2018-12-27T20:32:34.784818Z"
    }
   },
   "outputs": [],
   "source": [
    "cointegration = {}\n",
    "for stock in stock_returns:\n",
    "    df = base_price.join(stock_returns[[stock]]).dropna()\n",
    "    _, pval, _ = coint(df.base, df[stock])\n",
    "    cointegration[stock] = pval"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:13.932854Z",
     "start_time": "2018-12-27T20:45:13.926219Z"
    }
   },
   "outputs": [],
   "source": [
    "cointegration = pd.Series(cointegration).sort_values(ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:13.955267Z",
     "start_time": "2018-12-27T20:45:13.935848Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    2020.000000\n",
       "mean        0.970301\n",
       "std         0.021802\n",
       "min         0.660004\n",
       "25%         0.965413\n",
       "50%         0.976725\n",
       "75%         0.982969\n",
       "max         0.993948\n",
       "dtype: float64"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cointegration.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:13.970131Z",
     "start_time": "2018-12-27T20:45:13.957867Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ESCA    0.993948\n",
       "RTK     0.993946\n",
       "AHT     0.993884\n",
       "COB     0.993876\n",
       "UCBI    0.993342\n",
       "BGFV    0.993070\n",
       "CPF     0.992715\n",
       "GRT     0.992564\n",
       "MEAS    0.992522\n",
       "M       0.992432\n",
       "dtype: float64"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cointegration.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:15.038623Z",
     "start_time": "2018-12-27T20:45:13.992944Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "prices = base_price.join(stock_prices[['ESCA']]).dropna()\n",
    "prices.columns = ['index', 'stock']\n",
    "prices.plot(secondary_y='index');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:20.622647Z",
     "start_time": "2018-12-27T20:45:15.039911Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/stefan/.pyenv/versions/miniconda3-latest/envs/ml4t/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "returns = prices.pct_change().dropna()\n",
    "sns.regplot(x='index', y='stock', data=returns);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting the prices over time suggests a strong correlation. However, the correlation seems to change over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:21.427303Z",
     "start_time": "2018-12-27T20:45:20.628663Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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iqx7mmdltZnZmrNoPgG+b2VzgMeBSd28zDdEwhIjIbuCqrIO5KuvgTmtvPVVsotGR4AaTM/fqtPa7tQRv2ezu04kuh2x87eZGz+cDE3emTfUsiIgAc2vLuLH8HX6z4SPqXEdct2cwPTmc7fNGhtCTCaTmILG0oyOqRUTSz+d1G5hY8i+2evSY63drVvPkwHY3tdutBTBe5kLuYQbV1PNtDqE3re+VIduk7jCoeChZEJEO+8ei1fz981KG5udwx+GjKMzunLX6qfZ/1SsbEgWAaVuXtVFbtikgmx9yVKrDSC9pejaEkgUR6ZDXS9Zz/ktzGn7PLd9czfNntLbUO72MzCxsUt47s1fSY6iM1PGrrTMoi1RzaY9xTMjS5kbSdShZEJEOeX/NxiZfiN5dszFlsXS2k3KH8b99JzJ18zz6B3OZ2u+4pMdw7sbneKl2OQAPVs1jdvGF7JPRN+lxSBJoGEJEuqvDBhRibO9BPWJAYVvVOyQcca774FP+XbKOcYUF3H/0ARTlZMfd7q74Qe+D+UHvzlstsDMi7rxSu6KhXE2It+pWNSQL1V7P32rnU+thLsweS++AtrdOaxqGEJHu6vghfXn05ANicxZ68LMjRsXd5u/nL+UP86PzAxZv3kr2uwGeOL57DG3sjIAZYzL6MC+0Hoju1zs2ow8QTSQmb/oXb4ai2/3fWzOHGYUXkmdZqQpX4qWeBRHpzs4fNYjzRw3qtPYWbdratLx5ays1u79ne5/NtZtfoyxSxZW5B3BUVnRZ4rLIxoZEAWBBeD0z6tcwKWtYqkLtUhb5emoJs69pi+lEUrIgIilzxrD+3LdweUOv7FnDBqQ0ntbcWvE+f9ryKf2DuTxYfBIHZhdvv7fhff5U+Qn9A7k8WHRyk3s7Y6+MQqb3OWeH632sBzlkUEP0WO4AxsBA/q79RbqZm8Kv8TN/B4DzbCyPBc7BLA2+tafhMIQ2ZRKRlJk8tD8vnXI4N+y3Fw8cfSC3HNz1tgp+oWoZ/7PxQ9aEq5hbV85X105vem/TB9F79eV8teyFTn//3oEcHi04jYGBPPpaD+7JO5HRsSGK3dkar2xIFACe8Pm80+Rk5i5q20FS8TxSQD0LIpJSJw3ux0mDu24X8or6LU3KX4S2l1eENje7V5mQGL6cPYovZ8c/R0S6CPUsiIh0L5Nz96AwsH2Fxnn52z+0J/cY3vRe3sgOt1vrIS6u+Dd7r3mAiyv+TaTtc3ykmQGWzw/tyIby12wsE5uczNxVxdmroJ4FEZGuZ0RmLz4Y9DX+uXUx/YM9uKxgbNN7A8/jn1sX0T+Yy2X5Y9toqamLK17kHzWfA7CkeiOVkXqeKjqznVdJYz8PnsBlfiC1hNiXfukxXyFNJSxZMLMHgNOBde6+b+zar4AzgDpgCXCZu++ws4uZLQe2AGEg5O6731oqEekyRmX15qasQ1u+l9mbmwon7HSb/6lb1aT8Rl3JLsW2uxtlabhxVRp2IiVyGOJB4JRm114B9nX3/YHPgR+18frj3P1AJQoi0h2NCvZuUh6iFQ67jzQ8dTJhyYK7vwVUNLv2sruHYsX3odH5piIizfx1zSK+9MnLXPH5u2wM1aY6nE71QtHZ7BssIsMDDA/05Pmis1MdkiSDVkPstG8CT7Ryz4GXzcyBP7n71NYaMbMpwBSAYcO0SYlIdzG9ooRvfr59adya+mqeHXdCCiPqXHmBLD4ZcHGqw9jBmkglMyKrGRXow+hAGnbxp4M0HIZISbJgZjcBIeDvrVSZ6O6lZtYPeMXMFsZ6KnYQSySmAowfPz4N/xeISEtmbClvUv6wWTkej2z6jI9qypiUO5gzCkZ0WrvpbmGknKOq/8Z6qskgwBPZZ3NOxj473c4ar2Ra5HOKLJcv22hNPOwGkr500swuITrx8RvuLa8VcvfS2J/rgKeBnZ89JCJpbWLPfjT+iDm6Z/9OaffX6z/iotL/4zcVczmzZDpPbF7UKe2m2tLwRt6rX0W11+9yG/fWz2Y91QCEiHBn/Xs73cZar2R8/V+4Ijydr4Se5Mrw9PZftLtJw2GIpCYLZnYKcCNwprtXtVInz8wKtj0HTgY+TV6UItIVnNh7EE+MmcS5RXvwgyHjeGD0xE5pd1rl8ibl57Ysb7FeOnmg9mNGbfozR275O4dtfoRNkV2b35FrmU3LZLZSs3XTI4tZxfaNqx6IzCXskV2Kp9tSsrCdmT0GvAeMNrMSM7scuBsoIDq0MMfM7ovVHWRm29LP/sDbZjYX+BB4wd1fTFScItJ1fbV4OP8cexz/u+eh5Ad3/oOrJSMzezUpj8qK/6jtVPtR1VuEYwPhn4TLeLhu175f3ZB5GAcFoj04/S2P32aduNNtFFtek3IfehC07R81z/lnnBx5hK9FnmTFjivndw9puBoiYXMW3P2CFi7/pZW6pcCpsedLgQMSFZeI7N5+3X8iWz3E7JoyjssdzA+LDk51SHEL0vTbZsYufg/sa7nMzPkma30rfa0HWRbc6TZOD4zke4EJ3BuZRR968GjG9lUen/hazvF/EiISK69jgX1nl2KV5NIOjiKSNu7+bAl3LVxC76ws/nTYgRzUZ+d7BXoFs3ls8MkJiC517so7gQsrX6COMIcHB3Fx9rhdbitgxkCLb8+H32WczG/9pB0mNs5lbUOiALCQcrZ6HXmWFdf7pZVtSyfTjJIFEWnXIwtL+cei1Qzv2YOfHjGKgqzk/+p4t2w91874OFbayhlvvEfJOZOTHkdX9NWsfZhUOIxyr2ZkoDcZlvpjf1paATGBwU2O2z6EgbtXorBNGq7bU7IgIm16cXkZF738cUO5tLKWJ087KOlxLNmytUl5VVUNNeEwOcGd7yrvbioi1VxY9RzvhUo5MmMwj+eeSWEgJ9Vh7WCU9eUVLuRen0lvenCLHZPqkFIgdZMU46FkQUTa9N6appPQ3l2Tmklpk/oX0Tsrkw110aWBkwf1V6IQ8+Oat3g5tByAl0LLuKnmLe7J7ZpDLUfZMI6y3XwDPfUsiEh3c/iApvMCjhjQ+jyB2ZXlXLH0HTaEavnuwHF8d+Cuj503NzQvl/dPOZaHl66kd1YmV4/es9Pa7srCHsGhzaGFVZEtzcqVCY5KdjdKFkSkTZOHF/PwSfvxz8VrGuYstObMz15hVV10C5XvLX+fQ/KKmNhJmykBjOpZwB0HduwY6K2RekIeoVcwu9PeP9nuq5rD97e8Thjn5/lHc0NeyydfXpQ1jhdCS3DAYmXpwhI8DBHb0+guIAjc7+53Nrv/W+C4WDEX6Ofubc4WVrIgIu26aMxgLhozuM06tZFwQ6KwzdLazUyk85KFjrp3wydcuy6698D1vQ/k1/2OSnoM8SoNV3L1lleJxPqs/7vyTc7M3otRGX12qPu1rDH0D+TxYWg1h2cM4uiMockOVzoqwXslmFkQuAc4CSgBZpjZNHef3xCC+3WN6l8LtDsJKfVTZkWkW8gOBDmtcPuHVO9gFpN6Dkx6HBvCNQ2JAsBvNszhw+q1SY8jXpu9tiFRgOjny0ZvfWfGYzOG8V85hylRSAeJ3cFxArDY3Ze6ex3wOHBWG/UvAB5rr1H1LIhIp3ly9PHcu2YhG0K1XFS8N0Oz41uvvyuqPdSQKGyzJVLXpHxvxafcVjaTHpbBvYOO4Uv5XW/C3ahgH76UNZyX6pYDcFTmYA7K6JfaoKRzxN+zUGRmMxuVpzY6nXkwsLLRvRLgsJYaMbM9gBHAa+29oZIFEek0OYEMrhu0b0pjGJSRz8U9R/Pw5s8AOKrHQI7OHdRw/5Oa9Vy9+q2G39fnrnyJNaMvJS/QOdtJd5aAGc8VfplnaxcTxjk7e28yd2FHRemWyt19fCv3Wup6aC09OR940t3D7b2hkgUR6XYeHHAiF/fch2oPcXLesCbbFpfUVzb5zVkZqWdjuLbLJQsAmRbk3JzRqQ5DOltiJziWAI3HooYApa3UPR+4uiONKlkQkW7HzDghr+Wx+yNzBzAisyfL6jcDcFzeYAZl5LVYVyQhErvPwgxgpJmNAFYRTQi+3rySmY0GehM98LFdShZEpNO9vGEVr20q5cC8vpxf3LX2Q+gVzOb9Pc/h4Y2f0cMyuLz3mBa3JhZJiASfDeHuITO7BniJ6NLJB9x9npndBsx092mxqhcAj7t7h1IXJQsi0qmeWb+Ccxa+2vDlqbSuiusHd848hg8r1zG3uoIj8/sxrseOSwg7ql9GLjcUJX/LapFkcPfpwPRm125uVr51Z9rU0kkR6VTPVKxo0sv61PrlndLu4+uXcMSCaUxZ/h8OmfcMb21Z3SntiiSdx/lIASULItKp9srp2WZ5V91XtqBh34FaD/OXss86pV2R5Ipzj4UUHUKlZEFEOtWNg/fj8n6jGJ6dz9l9hvG7PVtc4r1TQh5hXX11k2svrC9h5AdP8bc1S+JuXySp0rBnQXMWRKRTZQWC3D+yc7dX/p+S2Syo2tiwgtzcWF8dYj1buGzhO0zoWcTo3F6d+p4iCZOGR1SrZ0FEurz3KtexvfsWPGxsyxzCOCtqdMqiSCIpWRCRLu+I/MbbHBvDMrdvIz0kO5dDC4qSH5TIroh3CELDECLSnc0q38iU9+ZQUVvPtWNGcP24vTv82luGHEyGBZixtYxjCgZwZfEY7l39GdXhMN8aOJLemel7DLXshtJwGELJgogkxVmvfcCqqhoAfjBjHuP7FnLMgI71CGRYgFuGHNzk2o3D9uv0GEWSIkW9A/HQMISIJFxdONKQKGyzrLIqRdGIpJiWToqI7CgrGODMoQMayn2yMzl+YHGntH1/+UL6zH2IorkP8WjF4k5pU0Sa0jCEiCTFPyaNZ+rnK6ioreMbew5haF6PuNtcWruZK774T8NmTZeueIMTCgbRPzM37rZFEiKFkxTjoWRBRJIiOxjk2jGde6jUulB1Q6IAUO8R1odqlSxI15aGExw1DCGyG3B33l21kXdXbaSDh8ylhYN6FHFwj+2TJCfm9WdUjjZnki5OSydFpCv6xvRPeGzhGgDOGz2Ax0/fP8URdY7sQJA3Rp3OoxWLCZhxYZ+RZJi+A4l0Nv2rEunm5pVXNiQKAE98toZPyra0+ZpPyyp56NNSPi3r+jsjFgSzuKJ4LN8uGkOPgL7/SFeXngdJ6V+WSDeXFdzxl0t2sPXvCS8vW8/pT31EfSRCIAj7F+fzlVH9+fGEPQlY+o21inQ5aTgSqJ4FkW5uZO88fjhhREP5xkOHM6pPXqv175tbQn3EIeBEzJlTvoX/9+5i7vpoRULjnFm+gQOfe41hT77Erz5dlND3EkkZRz0LItI1/fzokXz3oGE4zqD8nDbr9s6J/Vpo9jtp5trNCYou6uw3tu/w+N+z5zGhqDfHdnCHx11RGwlTHq5mYEaeekwkudSzICJd1cD87HYTBYA7jtqbg/oV7PAL7djBvRMUWcs7PC7fmrgdHmdWrWPogr8xZMEjHLr4X1SEatp/kchuTD0LItLEwPxsZl9yOFvrQvxhzhd8VLaFSUN6M2X/oQl7z6xggLOHDuSZlasB6JudxQkDOmeHx5ZcV/ouZeFogjC7upzflH/MHQMmJOz9RJpIw54FJQsi0qK8rAx+OKFzN1FqyxPHHMqfFy2noq6Or48YypBO2OGxNVUealqOhFqpKZIA2pSpKTN7wMzWmdmnja71MbNXzGxR7M8W+zbN7JJYnUVmdkki4xSR1MsKBrh6nz35f/vvw14FrU/A7Aw/Kj6IjNivv+JgDlf1HZvQ9xNpQpsy7eBB4G7g4UbXfgi86u53mtkPY+UbG7/IzPoAtwDjif6nmWVm09x9Q4LjFZHdwLmFe7FfTl8W123i0Nx+9MtIXC+GSBPbVkOkmYT2LLj7W0BFs8tnAQ/Fnj8EnN3CS78EvOLuFbEE4RXglIQFKiK7ndE5hZzWcw8lCiIdkIo5C/3dfTWAu682s34t1BkMrGxULoldExERSW/qWeg0Lf2XbHGkxsymmNlMM5tZVlaW4LBERETilIZzFlKRLKw1s4EAsT/XtVCnBGi8TmsIUNpSY+4+1d3Hu/v44uLELbUSka6pPFTNRSte46hFz/KHsk/bf4FISqXn2RCpSBamAdtWN1wCPNtCnZeAk82sd2zZnXj4AAAgAElEQVS1xMmxayIiTVzyxRs8smER72xdw3dXvcNTG5emOiSRlDKzU8zsMzNbHFtI0FKdr5nZfDObZ2aPttdmopdOPga8B4w2sxIzuxy4EzjJzBYBJ8XKmNl4M7sfwN0rgNuBGbHHbbFrIiJNzKkub1Zen6JIRDoogcMQZhYE7gEmA2OBC8xsbLM6I4EfARPdfRzw/fZCTugER3e/oJVbJ7RQdybwrUblB4AHEhSaiHQTx+cP5pEN0YOnDDguf1BqAxJpS+KXTk4AFrv7UgAze5zoKsT5jep8G7hn23YE7t7SdIAmtIOjiKS1Pw89hr2yerKsbgvnFo7guAItnJIuLrGTFFtaTXhYszqjAMzsHSAI3OruL7bVqJIFEUlrOYEMbh04PtVhiHRc/D0LRWY2s1F5qrtPjT3vyGrCDGAkMInoAoL/mNm+7r6xtTdUsiAiIpJeyt29tQy5I6sJS4D33b0eWGZmnxFNHma09oZddZ8FEUmwmas3807JRiKehkfgiaSzxO6zMAMYaWYjzCwLOJ/oKsTGngGOAzCzIqLDEm0uI1LPgshu6OqXF/LHj0oAOH2vIp79ygEELP12lRNJSwmc4OjuITO7huh2A0HgAXefZ2a3ATPdfRrbtyeYD4SB/3L3NpcRKVkQ2c2UbK5pSBQAnl9SzjslGzl6aIsHwIpIZ0rCLozuPh2Y3uzazY2eO3B97NEhShZEdjOZQcNo+vsqK6gRSZGk6a5nQ5hZdgvX+nR+OCKSaP3zsrn96L0apkx/+4DBHDaoV0pjEpGuraM9C0+Z2dmxmZPbznR4HjgkYZGJSMLcdOQILt9/EHURZ1jPnFSHI7J7ScM5xR1NFp4B/mlmXyG6JGMacEPCohKRhBuQv0OHoYgkXOoOg4pHh5IFd/9zbAnGM8Bw4Ap3fzeRgYmIiHRL3a1nwcwaz5Q0or0Kc4DDzexwd/9NIoMTERGR1GuvZ6GgWfnpVq6LiIhIexJ/kFRCtJksuPv/JCsQERGR3UIaDkN0dOnkK2ZW2Kjc28xeSlxYIiIi3ZRbfI8U6OhqiOLGp1G5+wYz65egmERERLqv7tqzAITNbNi2gpntQVr+dUVERGRndbRn4SbgbTN7M1Y+BpiSmJBERES6se42wXEbd3/RzA4GDo9dus7dyxMXloiISDeUhIOkEmFnDpI6kmiPwjbPd3IsIiIi3V937VkwszuBQ4G/xy59z8wmuvuPEhaZiIhId9SNexZOBQ509wiAmT0EfAQoWRAREenmdmYYohCoiD3XebYiIiI7rRsfJAX8HPjIzF4nekbEMcCPExaViIhId9VdhyHc/TEze4PovAUDbnT3NYkMTEREpNtJ07MhOrrd86vuvtrdp7n7s+6+xsxeTXRwIiIiknrtHVGdA+QCRWbWm2ivAkBPYFCCYxMREel+uuEwxBXA94kmBrOIJgsObAHuTmxoIiIi3VB3G4Zw97vcfQTwU6JLJ0cAfwWWAu8lIT4REZHuxeN8pEBHD5I61903m9lRwEnAg8C9CYtKRESku+rGyUI49udpwH3u/iyQlZiQREREpCvp6D4Lq8zsT8CJwC/MLJuOJxoiIiIC3XvpJPA14CXgFHffCPQB/ithUYnILqsNRfivVxdzwt8/4rb/LCPiaTj1WqQ7c4vvkQId3ZSpCniqUXk1sDpRQYnIrvvxG0v4zYcrAXhtxQbys4Jcf9iwFEclIg0SnL+b2SnAXUAQuN/d72x2/1LgV8Cq2KW73f3+ttrcmbMhRCQNzFy9pc2yiHRfZhYE7iG6GKEEmGFm09x9frOqT7j7NR1tV/MORLq4aZ+X85v3v2Be2dYO1T92WGGT8jHNyiKSSnEOQbQ/DDEBWOzuS929DngcOCveqJPes2Bmo4EnGl3aE7jZ3X/XqM4k4FlgWezSU+5+W9KCFOkifvr2cn7yRvSfwU/eWMY7lx7MQQMK2nzNLUePIC8ryOw1W5g0rJArDx6cjFBFpKMSOwwxGFjZqFwCHNZCva+Y2THA58B17r6yhToNkp4suPtnwIHQ0F2yCni6har/cffTkxmbSFfz4Nzt57VVhyL8Y/66dpOFYMC48Yg9Eh2aiOyKzlkNUWRmMxuVp7r71Njzlhpvnp48Bzzm7rVmdiXwEHB8W2+Y6jkLJwBL3H1FiuMQ6ZIGFWSxeEN1o3J2CqMRkU4Rf89CubuPb+VeCTC0UXkIUNrk7d3XNyr+GfhFe2+Y6jkL5wOPtXLvCDOba2b/NrNxrTVgZlPMbKaZzSwrK0tMlCIpcv/p+3Bg/3zys4JctF9/rjpE57eJSJtmACPNbISZZRH9nJ3WuIKZDWxUPBNY0F6jKetZiP0lzgR+1MLt2cAe7l5pZqcCzwAjW2on1vUyFWD8+PFaUC7dysg+uXz07UNTHYaIdKYE7pXg7iEzu4bo3khB4AF3n2dmtwEz3X0a8F0zOxMIARXApe21m8phiMnAbHdf2/yGu29u9Hy6mf3RzIrcvTypEYqIiHS2BH+tdffpwPRm125u9PxHtPxFvVWpTBYuoJUhCDMbAKx1dzezCUSHS9a3VFdERCStpOF2zylJFswsl+iGEVc0unYlgLvfB5wLXGVmIaAaON9de9aKiEiaS+HJkfFISbIQ2z66b7Nr9zV6fjdwd7LjEhERkR2leumkiIjI7kXDECIiItImDUOIiIhI61J3zHQ8Ur0pk4iIiHRx6lkQERFJJg1DiMjOqqwLkR0MkBlUR59It9c5B0klnX47iaSIuzPl+c8ouPNtev3ibZ6cvy7VIYlIMnicjxRQsiCSIi8uruDPs1cD0eOnL3l2IeFIGvZPisjOcYvvkQJKFkRSZFNtqEm5uj5CfSSSomhERFqnZEEkRU4d2ZexxbkN5WsnDCYnI5jCiEQkKdJwGEITHEVSpGd2Bu9/82BeXrqB3jkZHD+id6pDEpFkSMMJjkoWRFKoIDuDr4wpTnUYIpIsOkhKRERE2pWGPQuasyAiIiJtUs+CiIhIMmkYQkRERFqXngdJKVkQERFJpjTsWdCcBREREWmTehZERESSJU0PklKyICIikkxpOAyhZEFERCSZ1LMgIiIibUrDngVNcBQREZE2qWdBREQkmTQMISIiIq1K04OkNAwh0sVtqgnxs7dWcMtry1m1uTbV4YhIvDzORzvM7BQz+8zMFpvZD9uod66ZuZmNb69N9SyIdGHhiHPCQ3OZVVoJwINz1jD3qvEU9tA/XZG0lcBhCDMLAvcAJwElwAwzm+bu85vVKwC+C3zQkXbVsyDShX2xqaYhUYiWa5m1eksKIxKRLm4CsNjdl7p7HfA4cFYL9W4HfgnUdKRRJQsiXVhxbhY9s4MN5YyAsUevnBRGJCLxiR0kFc8DisxsZqPHlEZvMBhY2ahcEru2PQKzg4Ch7v58R6NWX6ZIktSFItw/aw0V1fV8ff9+7NmnR7uvyc8O8swF4/j+v5dQG45wy6Th7N23/deJSBcW/wTHcndvbZ5BS2McDe9oZgHgt8ClO/OGShZEkuT8fyzg6QXrAbjrvVI++s7BDOmV3e7rjhvRm7nfaXf+kYikg8SfDVECDG1UHgKUNioXAPsCb5gZwABgmpmd6e4zW2tUyYJIJwqFncv+uZh/flzOiD45PHnhaMYNyKU2FGlIFADKq+qZ/nkF767YzOzSSibtWcivJ48gM6iRQRGJywxgpJmNAFYB5wNf33bT3TcBRdvKZvYGcENbiQJozoJIp/rzh2t5ZHYZtSFn4bpqLvvnYgCyMwIMKshqUnf6ZxU89NE6PllbxR/eK+XON0tSEbKIJFsCl066ewi4BngJWAD8w93nmdltZnbmroasngWRTrRmS12T8tpG5We+Po5vPfM5FdX1fPeIwbywcEOTugvKqpISo4ikWIJ3cHT36cD0ZtdubqXupI60qWRBpBOdd0ARv/3ParbUhgG4/ND+DfcOHVLA3GsOaSh7BN5ctqmhfOroPskLVERSJw13cExZsmBmy4EtQBgINZ/ZadGZF3cBpwJVwKXuPjvZcYrsjLH9c5n13f158fON7Nknm9PGtJ4A/PcxQynKzWRWaSWTRvTiq/sVJzFSEUmJxE9wTIhU9ywc5+7lrdybDIyMPQ4D7o39KdKljSzuwcjiji1v/Ob4AXwzwfGIiMSrK09wPAt42KPeBwrNbGCqgxLZFUvX1/CXGWt4a+mm9iuLSPeW4LMhEiGVPQsOvGxmDvzJ3ac2u9/aLlSrkxSfSBOzSyq58l9L2Vgd5rpjBnLVkQM69LpP1mxl4r0fN8xj+P0Ze3LtxEGJDFVEurI0HIZIZc/CRHc/mOhww9Vmdkyz+23uQtVQyWzKti0vy8rKEhGnJMg7c2t56vVqNlVGOq3NxWtreWrWRpaWde7pjO7OGQ8sZMbKrSwqr+E7Ty3j/RUdO6Phb7PXNSQKAH98X/muyG5NPQsd5+6lsT/XmdnTRA+/eKtRlfZ2odrWzlRgKsD48ePTcI7p7unmqZu4/YHoh+3eQzL44C/96NMrvtz19YVbOPWuJdTUO7lZAV66bi+OGpkPwIbKML1yAwQCu5bRV9dHKN1c3+TakvU1HL5HQbuvLcrLbLMsIrsTU89CR5lZXux4TMwsDzgZ+LRZtWnAxRZ1OLDJ3fWVrBtwd375yPZv5YtLQjz1RnXc7f7u/8qoqY/mi1V1ES77yxf0mvIpPb75CX2mzGfE9z9nwaoOHbC2g9ysICeP6tVQ7pObwbF79uzQa7975CBO36c3ZrBX3xzu+/JeuxSDiEiqpKpnoT/wdGxf6gzgUXd/0cyuBHD3+4huKHEqsJjo0snLUhSrdDIzoyA3QG3d9uGHglxjWWmI63+/kfJNEa48O59vfCm3Q+3N+aKKWcurCYWbdiwtXlsHoVg+HIAvyuv5wSNrmH7j8A7HGok4f5tVzqpNddx56h6cNGoTG6pDXDK+mCGF7Z/rAJCTGeC5S8cRCjsZwfT7RiEinSiFQwnxSEmy4O5LgQNauH5fo+cOXJ3MuCR5/vqT3pz//yrYWu187YQenHt8Dw68ZC2fLg0B8M7HFew9JMhh49r+QH5+zia+fPcyQmHICMKgXpmUbqqnOD+DsvU7zoXYXL1z8yOueWo59767FoCfv7qKmdftx+h+u3bqoxIFEQHSchgi1fssyG7q9KN6sOGVQWytdgoLAoRCzrxloYb77vDJkhCHjcumdH2I6+9bz5oNYS4/pYCLTtw+T+C+N9YTis0dDIXh8BG53HfJUCq2hJlw6+LtyYFHk4nrTu27U3E+Onv7NiCVtRGem7dhl5MFERFAPQsiOyMzwygsiGbYGRnGsQdl88bs6CqGnCyYuH/04KVz/mctHyyMXn/rkxqG98/g6P2iH9hF+cEmbRblZ1JcEH3MvG0k02ZvJivD6FeQwbghOew7NGenYhzWO5tPVlc1KYuI7G6ULEiX8cydffnZQ5tZtzHMeSfmMmZ4dNXAR0u2L4N0hzlL6hqShZ+fO4hPV9Uwa3k1E/bM5fZztu99MHJANj84tekWyptrQsxeWUVdyLnjhTWs3VLPFUcXc/2J/WnJYxftzcWPLqFkYx0Xjy/iawfuXM+EiMgONAwhsut65Qc45ahszrl9DQ/+ZyOnTejB5GOy6L9HiJUlDjXR5OHf79ZyxWlOVqYxsDCTmbeM7tDkwTWb6zjyd/NZtj6WfNQHIBLgB0+WsN+gHpw0dsfVDeMG5DLr+v06/e8qIrsxDUOIxOdbv1vHxtgmTS/M28QLK2JHPPcGyg22ZPPvd2s48prVbKwKM2GfbKZeX0R+j9ZXAZdsqOO6f33Bh19U8sWmRps1BSMQib5u0bqaFpMFEZFOpYOkRDpuyeo65q+s46A9sxlStH2Tos1VjVYrZIWavigrHP1wD4aZtTj6ob+kNETfnkH+cG3LwwOrNtSx/08/ZUN1CMwhuGOdvOwAJ45RoiAiSaKeBZH2vTJnK2fcsYraeqdnboDXbh/KIXtHJx7e+NXe/Nf96wHIzQhSRaPkoT4IOBbwJv/WFq1qurNiY+dNXcaGqlB0+zEj+o/UID87wNcPLKYwJ4OvT+jDqP47N/FRRGR3omRBku5XT1dQG9tpcXNVhN8/v4GHvh89UPSGcws5et8cSspDHDIyi1ueXcOcL6rpk5nFmysMDzqjh2aysFGCcPbEXNZtCNMzz8jJajoc8fGq6oYEIbrNqoPDB9fty9iBWgIpIimgYQiR9uVmB5qVm/7DOWyfHA6LPX9oyjCqayMUTF6Jx7oTFq4I85NLCqmpdw4ZmcVDL23lqt9UUJBrPHlrP04+dHsScNKYnjw1pwIaeigMMyjO14++iKRIGg5DpPLUSdlNHTkmh5650TGBMUOy+H9fK2qzvjtEmm28eOjobH51RR82b3Ve/DB6rsSWKmfKr8ub1Hvk8uHcctogxsY2UgoY/OqsoRQX6DAnEUmF2EFS8TxSQF+vJKl+8vcyfvpkdE5CZib86Tv9GdS37R/D3JwAt17ai1v+ugmAEw7JYfJh0Q//rTVNs4jK6qYpe4+sALeeOYhbzxzE2s31ZAaNPnn6sReRFEnTsyHUsyDtmrO0hrc+raI+1PJP+PqNEZ56vZoP59U1uV66PsSRPygh98tLOP2WUiqrIzzxzuaG+/VheH5WZYdiuPnSQuY/NIgP7hvAi7/sR2ZGNLv+xon5jBi4/cP/Jxf1aq0J+vfMVKIgIrIL9JtT2nTzI+Xc/kQFAEeN7cH/3TGY7MztOebq8jATLi2jZF30G/7/fq8nP/hGPgDXTS3nvQXRI6FfmFHFTx+vYES/TBav3j45cXi/jg8HbNvRsbF+vYPMnjqQx97YQs9844JjtARSRLq4NJzgqJ4FaVVVTYQ7/lHRUH57fjX/nlnVpM7fX6xuSBQAfvHw9p6C1RVN90korQhz/9UDmbRvLoP7ZvCdUwqZclJh3HH+Zno533mkhAvvW8lZ//sF4Uga9vGJyO7D43ykgHoWpFXBIAQDNJzqCJDV7Mt9zzxrtXzZST35z7xoz0JGEC46voBhxZm8fvuwDsdQF3LmLK+hqCDInv2zdri/oTLM7U+VNZSfn72F1z7dykn753f4PUREkioNexaULEirsjMD/OGKflxz3zrCEfjqxHxOOTivSZ1LT89l2ls1vPBOLYUFxp9/vL2n4LKTezK8fwZzltZxzL45HDJy5zY+2loT4fjblvPh4hoCBndfPoCrTu7TpI5Z9OGNsu1A+v07FBHp0sy9+3TZjh8/3mfOnJnqMLqML0rDzFkYYt+RGQwfHGB5aZjCggB9eu3c6FPZphBba5zh/VufX7Bhc4SCXCMjo/M+qf/6+ka+eW9pQzkv26j825gd6v3s6XXc9MQ6AM49rCdPfG8oAWUMIrKTzGyWu49P6HsU7O8c+Hx8jby9R8LjbE49C93UB3PrOfHyzVRWOdlZzn5jAsycHyIrEx66vRfnT275W/6a8ghZmTRJKIp7ZVDc+iIDAHr37PzpL80/71tLAH785X5846hCquoi7DMoGzMlCiLSRSXhICkzOwW4i+hpOPe7+53N7l8JXA2EgUpgirvPb6tNTXDspn73t2oqq6K9RrX1zsz50cmGdfVw1U83N6l718PVjDl1I4MmrWfgpPUUH72e3z7cdCLjTXdvocfhaxhw4jpeereWeC1dW8cZP1/J4T9axl9f29hinfOO7MkxY3KB6JyHuy4d0Gp7exRnMWZwjhIFEen6EjjB0cyCwD3AZGAscIGZjW1W7VF338/dDwR+CfymvZDVs9BN5fVo/UOzrn77T9tr79fz/Z9VAQ4Z0euRCNzwv1u5+Mwc+hYGeH1GLT/7y1YAamojnHfjRire7BdXV//Zvyjhky+iSceHi1czcmAWR8USg21ysgK8dsseLFxVS5/8IAN7a9dFEekGEtuzMAFY7O5LAczsceAsoKHnwN0bf2PMowNrLNSz0E3denUuo4ZHz2MeNiDIPiOiz83gjmu2rxRYtDy21KHZz24kArV10Z+fteub7pK4qdKpiaNzwd2ZV1LbqAzzVrbcYDBgjBuao0RBRGS7IjOb2egxpdG9wcDKRuWS2LUmzOxqM1tCtGfhu+29oXoWuqkhA4LMf66QsgqnqLdRH4IPPqmnuHeAcXtv/99+/OGZ5OdCZRXRs5Zi6eOUr+YwqF80wTj5iGxGDA6ybFU0sfjGqTnkttFz0R4z48T98nh5brS3IifLOLpZr4KISLcV/7qC8jYmOLb0y3mHd3T3e4B7zOzrwE+AS9p6QyUL3VgwaAwojv7cZGTApEN33Kdg5PAg7zzWi0em1dK30Nh/nyA98wJMPHj7N/k+vQJ8+Le+PPVaDYUFxrknNp0cOeezei6/bSPrNkS46tw8fvzN9vc4+NcNQ/jFM+WUbQ5zyaRejB2aHeffVkQkTSR2EWIJMLRReQhQ2kpdgMeBe9trVEsnJW57nrmuodcB4KW7+3DyEfrwF5H0kpSlk3kHOPtOj6+RD4e0GqeZZQCfAycAq4AZwNfdfV6jOiPdfVHs+RnALe39vdWzIHFxd75YE25ybfnqcCu1RUQkkRMc3T1kZtcALxFdOvmAu88zs9uAme4+DbjGzE4E6oENtDMEAUoWJE5mxrkn5PDEy9FtnQsLjJMO23G4Q0REksPdpwPTm127udHz7+1sm0oWJG6P3F7IsQdXUbYhwvlf6sGIwfqxEhFpVRqO/uu3usQtI8O46qt57VcUEREdJCUiIiLtSMOeBW3KJCIiIm1Sz4J0is1bnNfer6eot3HUeO22KCLSoiQcJJUIShYkbhs3Rzj8q5v5bGl0W+ibrsrhjuu1I6OISIs0DCG7o2deqW9IFAB+eX8NkUga/msQEUkGt/geKaCeBYlbfm7TH968HhbXiZQiIt1aGn6XUs+CxO2cL2Vy/mnRjZhye8Bf79QyShGR7kQ9CxK3QMB47Hf5/PF/IuTmGNnZ6lUQEWlZ6oYS4pH0ngUzG2pmr5vZAjObZ2Y7bDtpZpPMbJOZzYk9bm6pLelaevcKKFEQEWmLd8IjBVLRsxACfuDus82sAJhlZq+4+/xm9f7j7qenID4REZHEUc9C+9x9tbvPjj3fAiwABic7DhEREemYlE5wNLPhwEHABy3cPsLM5prZv81sXBttTDGzmWY2s6ysLEGRioiIdJI0HIZIWbJgZvnAv4Dvu/vmZrdnA3u4+wHAH4BnWmvH3ae6+3h3H19cXJy4gEVERDpDGu6zkJJkwcwyiSYKf3f3p5rfd/fN7l4Zez4dyDSzoiSHKSIi0vnSsGch6RMczcyAvwAL3P03rdQZAKx1dzezCUSTmvVJDFNERKTz6WyIDpsIXAR8YmZzYtd+DAwDcPf7gHOBq8wsBFQD57t7Gu55JSIikv6Sniy4+9tAm2mVu98N3J2ciERERJIoDb/6agdHERGRZNIwhOxOyisivPSfevoXBThxYmaqwxERSQ/qWZB09/nSMAsWRzhkvyBDBra+WGZdeYQJ52xhxaro0dT/PSWbX9yYm6wwRUTSlM6GkC5u4aIIp55fw1Gn1fCv50I73H/htXr2m7yFs6/YypiTNnP/o7VUbm05BX7mlfqGRAHgrgdr0RxUEZHuST0L3dxfH6vng48iHHFIgFt/GWL5F9EP9Pdn13LRBfUU5BvXXJpJXR1M+VE1dXXR11VuhW//qIZf3lvPu8/mUtSnaV5Z2NN2KEdXxYqISKtSuFdCPJQsdGO/v7+e7/0k+un/p4eBCEQXojjhYJgHnwwD8Oiz9dTXwuYqh2CjBhwWLXMeeLye//5OdpO2z52cySXnZPHw03UU9jT+9uu8ZPyVRETSXxoOQyhZ6MZefC3cpFxYCBs3EM0XGnUUrN/gEI5dDIS35RMQif5AZ2Xt+IMdCBgP/iqP++7IJTsL9SqIiHSUehakKxk3OsC/GyUM37wgA8Oo2Bjh6VfDbIydyJGZGe10CIcM6oIUFkJtnVMdMg4/OMC3Lmh9pUNOtpIEEZHuTslCN3b7jZlUbnU++CjCxEMD/OzHWWTHPty/MzeTG35aQ00t/OTaLGpqjF/dW0d+nvHbW7MYNjhAeYUzYpgRDCohEBHpNAkehjCzU4C7iA4s3+/udza7fz3wLSAElAHfdPcVbbbZnWawjx8/3mfOnJnqMEREJA2Z2Sx3H5/Q98g+yBnwRnyNfFHYapxmFgQ+B04CSoAZwAXuPr9RneOAD9y9ysyuAia5+3ltvaWWToqIiCTLtoOkEndE9QRgsbsvdfc64HHgrCYhuL/u7lWx4vvAkPYaVbIgIiKSTIk9onowsLJRuSR2rTWXA/9ur1HNWeimqqqcnJzoqgUREelWisys8Zj7VHefGnve0i/9FlMMM7sQGA8c294bqmehmwmHnfO/VUfe0Br67l3Dq2+G23+RiIgkSZxDENFhiHJ3H9/oMbXRG5QAQxuVhwClO0RhdiJwE3Cmu9e2F7WShW7m8afCPPF0NEHYuAkuvaY+xRGJiEgTiR2GmAGMNLMRZpYFnA9Ma1zBzA4C/kQ0UVjXkZA1DNHNbNzUvNx9VruIiHQLCVw66e4hM7sGeIno0skH3H2emd0GzHT3acCvgHzgn7EN9b5w9zPbalfJQjdz7plBfvH7ECtXRZOE67+j/8UiIl1GEs6GcPfpwPRm125u9PzEnW1TnyRdjLvjvusTE/v3M2a/ns2rb4UZ0M84dmKw/ReJiIi0QXMWupA//zVCXr8Qef1C/P6Puz4xsaivcd6XM5QoiIh0RYndZyEhlCx0EatKnau+H6a6Gmpq4Ps3RliyVPMNRES6ncROcEwIJQtdxMaNEG7UmeAO6yuULIiIdDvqWZBdtc9oOGHS9h+CIw83DjpAGyqJiEjqaYJjFxEMGtOfCvKvZ5yIw1fOMjIzlSyIiHQ7adhprGShC8nKMi74WscTBHdn1hwnGISD9lcnkYhIl7ftIIEdwncAAAWtSURBVKk0o0+YJLrnvgjFw0IMHRni+emRuNpyd77+rXoOPb6Og4+t48rrtFOjiEha0ARHac0nnzrX/iBCeTmUrILzLo5QWdn0//rcTyKcdm49J59Vz5tvt51MzJ7rPP7U9jp/ejDM4qXxJSAiIpJonXI2RNJpGCJJVq+Jbra0TVUVbNgIeXnw5JOwfIXzi7tDrK+I3n/3w//f3v3ERlGGcRz/PrtbxZKmCW0h0FIgFhIhxEvVcEBBPVBJRCIiRqNFCTFiAwkGPZmoJy/4J7ZIE2sNSlB76qENSvBmY2g5CQRpDGojkVpliRBLSh8Puy1tXbZTyux2tr/Pad6dNzNv35lknr7vm+cd4mxPEZWLMr8YiQwpFBJ6miIiEgKNLOTImgeM5TU3yg+vM6oqYc8e2LoV9u1jNFAAuHIFfuq9+XjTvatjvLz9RsTw+u44S6v1OEVEZrwITkPof9FbtHffMI0fO/PmwRetMdavyz40VFJidH0X5/Mjzl1z4PlnDTOjpSVdwYFhRsO38jJYvSr7NQ/sL+K1hjiJuLGkOnoLZkREZqUILnBUsHALOjqd/R+kwrsLF+Dp54a52Bfn+nXn/HkoL4fS0v+/DGVlxu5d439fuBDOnQMwuFrEoxuvs3gx7G2IUV42+Qt19zKNJoiIREYeRwemQ1+aMS5fdr5uc749lv1J/nFx/PmBAUgmh1n7ENSsgEVV0NkZ7G04fBhqaqC4GHa9YnzTnqClKcGqe/RoREQKkhY4Rlcy6axZ65w5kyo37HI+fD/zB3tjnVFV5fT1pcov1hufthpdXany1avQsBt66ya/b23tyMiCiIjIzKR/X9M6OhkNFAA+aoLBwcyjA/PnG93fxzjYaLQdidHcZFy7Nr7O4GCIjRURkeiK4AJHBQtppaXjy8XFUFR08/oLFhg7d8R4cnNqoeL2+tR0AkA8Du+8FVpTRUQkyiI4DaFgIe2xOmPnjtRxcTEcajViseAPpaLCONkNx4/B6R+hvj56q11FRCQHNLIQjJltMLOzZtZrZm9kOH+nmX2ZPv+DmS3NRbsOHojxzyUjOWBsfmLqH/uSEmP9emPFCgUKIiJSOHIeLJhZHGgE6oCVwDNmtnJCtZeAv929BngPeDdX7Zs710gk9LEXEZEQjGwkpWmISd0P9Lr7z+5+DTgCbJpQZxPwWfq4DXjEzPQFFxGR6NM0RCCVwG9jyn3p3zLWcfchIAmU5aR1IiIioYnmRlL5CBYy/aUTY6UgdVIVzXaaWbeZdff390+7cSIiIqHSyEIgfcDiMeUq4Peb1TGzBFAK/EUG7t7s7rXuXltRURFCc0VERGa3fAQLJ4DlZrbMzO4AtgHtE+q0Ay+kj7cAx909T/GUiIjIbRTBaYicp3t29yEzexU4CsSBFnc/ZWZvA93u3g58Ahwys15SIwrbct1OERGR2y6iG0nlZW8Id+8AOib89uaY43+Bp3LdLhERkdBFcItqZXAUERHJpZAXOAZIfPigmZ00syEz2xKkyQoWRERECkTAxIe/AvXA4aDX1RbVIiIiuRTuNMRo4kMAMxtJfHh69Pbu59PnhoNeVCMLIiIiuRTuNESQxIdTVlAjCz09PX+a2S/5bkceVZMaXpJwqH/Do74Nj/o2uCXh36LnKFj5NC8yx8y6x5Sb3b05fRw4qeFUFFSw4O6zOiuTmfW7e22+21Go1L/hUd+GR307s7j7hpBvESTx4ZRpGqKwXMp3Awqc+jc86tvwqG9nlyCJD6dMwUJhSea7AQVO/Rse9W141LezSHrzxZHEh2eAr0YSH5rZ4wBmdp+Z9ZHKZ3TQzE5Ndt2CmoYQmievItOg/g2P+jY86ttZJkDiwxOkpicCM225ICIiItloGkJERESyUrAgIiIiWSlYEBERkawULIiIiEhWChZEREQkKwULIiIikpWCBREREcnqPyQYVOJM0nEpAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = np.linspace(0.1, 1, len(prices))\n",
    "mymap = plt.get_cmap(\"winter\")\n",
    "prices.plot.scatter(x='index', y='stock', c=colors, cmap=mymap, lw=0, figsize=(9, 6));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:22.045731Z",
     "start_time": "2018-12-27T20:45:21.430130Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = np.linspace(0.1, 1, len(returns))\n",
    "mymap = plt.get_cmap(\"winter\")\n",
    "returns.plot.scatter(x='index', y='stock', c=colors, cmap=mymap, lw=0, figsize=(9, 6));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A naive approach would be to estimate a linear model and ignore the time domain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:39.390618Z",
     "start_time": "2018-12-27T20:45:22.056537Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [sd, index, Intercept]\n",
      "Sampling 4 chains: 100%|██████████| 12000/12000 [00:10<00:00, 1183.72draws/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_reg:\n",
    "    pm.glm.GLM.from_formula('stock ~ index', returns)\n",
    "    trace_reg = pm.sample(2000, tune=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The posterior predictive plot shows how bad the fit is."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:41.098561Z",
     "start_time": "2018-12-27T20:45:39.402167Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 6))\n",
    "ax = fig.add_subplot(111, \n",
    "                     xlabel='Price GFI in \\$', \n",
    "                     ylabel='Price GLD in \\$',\n",
    "                     title='Posterior predictive regression lines')\n",
    "sc = ax.scatter(returns['index'], returns['stock'], c=colors, cmap=mymap, lw=0)\n",
    "pm.plot_posterior_predictive_glm(trace_reg[100:], samples=100, \n",
    "                              label='posterior predictive regression lines',\n",
    "                              lm=lambda x, sample: sample['Intercept'] + sample['index'] * x,\n",
    "                              eval=np.linspace(returns['index'].min(), returns['index'].max(), 100))\n",
    "cb = plt.colorbar(sc)\n",
    "cb.ax.set_yticklabels([str(p.date()) for p in returns[::len(returns)//10].index]);\n",
    "ax.legend(loc=0);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Rolling regression\n",
    "\n",
    "Next, we will build an improved model that will allow for changes in the regression coefficients over time. Specifically, we will assume that intercept and slope follow a random-walk through time. That idea is similar to the [stochastic volatility model](stochastic_volatility.ipynb).\n",
    "\n",
    "$$ \\alpha_t \\sim \\mathcal{N}(\\alpha_{t-1}, \\sigma_\\alpha^2) $$\n",
    "$$ \\beta_t \\sim \\mathcal{N}(\\beta_{t-1}, \\sigma_\\beta^2) $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, lets define the hyper-priors for $\\sigma_\\alpha^2$ and $\\sigma_\\beta^2$. This parameter can be interpreted as the volatility in the regression coefficients."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:42.198873Z",
     "start_time": "2018-12-27T20:45:41.100135Z"
    }
   },
   "outputs": [],
   "source": [
    "model_randomwalk = pm.Model()\n",
    "with model_randomwalk:\n",
    "    # std of random walk\n",
    "    sigma_alpha = pm.Exponential('sigma_alpha', 50.)\n",
    "    sigma_beta = pm.Exponential('sigma_beta', 50.)\n",
    "    \n",
    "    alpha = pm.GaussianRandomWalk('alpha', sd=sigma_alpha, \n",
    "                                  shape=len(returns))\n",
    "    beta = pm.GaussianRandomWalk('beta', sd=sigma_beta, \n",
    "                                 shape=len(returns))       "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Perform the regression given coefficients and data and link to the data via the likelihood."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T20:45:42.790623Z",
     "start_time": "2018-12-27T20:45:42.202701Z"
    }
   },
   "outputs": [],
   "source": [
    "with model_randomwalk:\n",
    "    # Define regression\n",
    "    regression = alpha + beta * returns['index']\n",
    "    \n",
    "    # Assume prices are Normally distributed, the mean comes from the regression.\n",
    "    sd = pm.HalfNormal('sd', sd=.1)\n",
    "    likelihood = pm.Normal('y', \n",
    "                           mu=regression, \n",
    "                           sd=sd, \n",
    "                           observed=returns.stock)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Inference. Despite this being quite a complex model, NUTS handles it wells."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T21:06:43.920884Z",
     "start_time": "2018-12-27T20:45:42.792018Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [sd, beta, alpha, sigma_beta, sigma_alpha]\n",
      "Sampling 4 chains: 100%|██████████| 10000/10000 [20:40<00:00,  1.81draws/s]\n",
      "The acceptance probability does not match the target. It is 0.9858867645816567, but should be close to 0.9. Try to increase the number of tuning steps.\n",
      "The chain reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "The acceptance probability does not match the target. It is 0.7466481216182378, but should be close to 0.9. Try to increase the number of tuning steps.\n",
      "The chain reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "The acceptance probability does not match the target. It is 0.5978373190470451, but should be close to 0.9. Try to increase the number of tuning steps.\n",
      "The chain reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "The gelman-rubin statistic is larger than 1.2 for some parameters.\n",
      "The estimated number of effective samples is smaller than 200 for some parameters.\n"
     ]
    }
   ],
   "source": [
    "with model_randomwalk:\n",
    "    trace_rw = pm.sample(tune=2000, cores=4, samples=200, \n",
    "                         nuts_kwargs=dict(target_accept=.9))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Increasing the tree-depth does indeed help but it makes sampling very slow. The results look identical with this run, however."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analysis of results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As can be seen below, $\\alpha$, the intercept, changes over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T21:06:54.186468Z",
     "start_time": "2018-12-27T21:06:43.923916Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZuFOQ409nJiwWlQiQNoAQpGRgMDIgoiJCDP3UlK7XbmukYXe3P8rgcDgcDscRwcnAnWKQDFA+OD2txj2bVSNOG+LU+A9WFKQVB/W6koBiUb+rVo0ouKDQ4XA4HEcIJwN3CvQCYLBqgImMRKxiAKSRAhE19hCGbleJwMyMpgu2t3WZtD+Bw+FwOBxHACcDdwKM9iAZSIWCuZwRg0EyMGjYmfo4mxUplXS9TEbTDfX6azsXOhwOh8NxBMjdehHHvhgsCxR5LTkQUQOPADA1/qlhh1hMTFg0YW9PowJMh9ztenMih8PhcBw5PDJwJxjUC4hY1UC7/drliRYM/k9PApH+6Y1FtLSw2VSS0Gx6msDhcDgcRw6PDNwJEAumRp3fKP/zeasKoKIA8DetjEkLpNuirHBqSskABCTG15ILh8PhcDhGgEcG7gS3Eg+mhltECQEkQcSMOa2L01kP2Va7rYQCvQGTIbluwOFwOBxHBCcDo4I5Awb1AikI/TN5UT6v3n2rZemEdLlBMtDtWt+CbFaJwfa2RRkcDofD4TgCOBkYFe22GvFheoFBUeDWlsjmpgoDMxmR9XWRSkVJgYhGC+haCIgWZDKaIshmjUS0264bcDgcDseRwcnAqKhWtTVwmrenLXHq9e/umvCPkD+VAru7GvZvt/ujApAIogmUFIooIfDIgMPhcDiOEGMlAyGEd4cQvhZCeDmE8OEh3/9kCOH5EMKzIYR/H0J4JPnuR0IIL/V+fuTeHrmYUce7T+cf6HbV0GcyGgFgeVoK5/MaJZiaUhLQaFhUoN22qEEmY/vJZrXfACTCyYDD4XA4jghjIwMhhKyIfFxE3iMibxWRHwwhvHVgsWdE5MkY4zeKyL8SkV/urXtSRD4qIt8iIu8UkY+GEObv1bGLiLYbLhY1QgAR0IPTiAH5/kpFjXqppJ81GroexrxYVEKAgSf9UK0aEajVdJnZWScDDofD4ThyjDMy8E4ReTnGeDHGuCsinxGR96ULxBj/KMbI/L1fEJHzvb+/R0Q+H2PcjDFuicjnReTd9+i4Fcw/QBog7QtAF8JOR78vFvvFgsxGSCoAMsGUxeWyaQa2trT7ICJDogs+c6HD4XA4jgjjJAPnRORq8v+13mf74UdF5Pdud90QwodCCE+FEJ5aW1u7g8MdgslJNexMIkQfAD5vNJQUMK1xCNZ3IATrSthsquffavWLC3d2lCjMzOg2s1mLPDgZcDgcDscRYZxkYFjHnKGx7xDCD4vIkyLyK7e7bozx12OMT8YYn1xcXBzpQPdFCGqo222RjQ317gsFm6lwZ8fy/EQBaB6ESJDGRXxfq+lPsWgRhGLRJi1iffoNOBwOh8NxhxgnGbgmIg8n/58XkeXBhUII7xKRfygi740xtm5n3buKdttK/ep1kcuX9fNczr6rVtXQN5s26+DkpJKE7W0jBbmcfsbcBJOTavQLhf5GRWgPMhndtpcXOhwOh+MIME4y8EUReWMI4bEQQkFEPiAin00XCCG8XUQ+IUoEbiZf/b6IfHcIYb4nHPzu3mf3Du225vZpAlQui6ysWFOhctkmFapWLTWA97+9LXLjhqYFEBq22xoBmJ83HUGzqT0KajWrLigUlCDU67c+TofD4XA4boGxzU0QY+yEEH5c1IhnReSTMcbnQggfE5GnYoyfFU0LTIvIbwet578SY3xvjHEzhPDzooRCRORjMcbNe3oCu7tqrE+e1Pz9iRNq0K9cMQHh7KwuRwThxAkVBDabavBDUKIQgukGmL44RiUUoFLRbTAlcgi63UJBf44a9ERwOBwOx+seY52oKMb4ORH53MBnH0n+ftcB635SRD55947uFiDn32qpwX/oITXsq6tqxE+d0mqDel1JABGCnR0TEyIKzGatnHBhQVMFe3saEZiY0O2IWIMiEWt21GpZYyLKDe90AqN22xol5XwuK4fD4Xi9wzsQjoq5OTXYVChMTIicPq3EYG1Njf+NG7rMwoIa1itX1MAjKqzVlAgUClaGmM9bS2PSAJ2Opg8mJmz+g07HjD4koF4/mtQBWgSvWHA4HI4HAk4GRkUmo4Z8e9u6AzLHwJkz+v3GhpUcTk1ZZIAwf7Np8wzU6/p7Z0ejC7Q6npoy/cDEhO6LHgTprIhsh5/bRbtt2xv8fSeI0RskORwOxzGHx4BHRbttZYTlsnrua2tqwN/+djXurZaVAe7tWblgOi1xpaLLVqsabSA10GopEdjd1WWyWf28WNT9p7Ma0pUwk7GJjFjuMECoKGLRB8SO6TwLo6Be1/UnJ0ffhsPhcDjuKpwMjIrdXfXeRdSbLxSUFBQKKiqcnNSoQblsy01OWulhpaICw5UV/U0FApMSpZoCESUJrZZ9BtHIZCytMDmp275dMkAEIJNR491ua0+D3V3rgzAKICp0WbxTLYPD4XA47go8TTAq8Pjn5pQA1GpqjCcnbW6CRx5RQ7q2poa1VFKDiLdPlUEupyJDDHmno78x9AsLup96XVMPjYZGEhoN+8lmdTvMZzCY74/R+hUMIp0qOZOxdseZzJ3pBtI0g+sPHA6H49jCycCoQPi3t2dRgGxWvfydHfOw5+bU6Fcq6m1TDhijlhlOTqrRnZmx1sVUKGSzFiU4cULLEWlehOEfjATkcjYvQop220jKIDodqxrI53Vb6A7uRDeQRhycDDgcDsexhZOBUZHPq4EnRUB1QKmk39OSuFhUQ1yvW8idioFyWcnC3JwuR0SAmQpbLSs73NuzSY4I2xN+Z3+AVEQq3COSQWkiwEizPtoGEUs/jEoIul2LWHQ6LiR0OByOYwonA6MC0R8Gk3w7Rm9xUfsDTEzYREMbG2oY8brx/pnVcGJC10/7DpBzp9qARkC1mhIRdAMpWCb1xkkR8Bn5fAw9kQEIC1MzD27ndgAZ4HgGiYjD4XA4jgWcDIyKTEYNKM15Zmb073TK4RDUG6eFcLlsEQMRK7tj5sKpKVPyY5xzOTXMzaaF8JkpsdFQwtFq9R8b6QWML6WHImbY0RqkKQJICh0UMeajRAZYh2PxVIHD4XAcWzgZGBU0DopRUwOFgnr2ePPLy1ZFgGFmngERJQTk/UXUePJZJqOGmiZCq6vawIg5DnZ3dX/1umkMmAERI5zPW+kh0Yp83qIBaa+CNCogYsr/dtvmV7jdEH9KBtLj8cmVHA6H49jBycCoqFTUwE1OqjFmpsJKxeYNWFuz1sJEAdbXbdbCVPQ3PW0edC6nyzYauo1GwyIIeOqzs0oOMPS1mpIDlsXAp7MeUmlATwHIAAY7jQDgyQ/77jAg3UA5Icfj0QGHw+E4dnAyMCroA1Asqtfebuv/hNdXV9WQN5vWCGh6Wo04YftSySIJhYKmCWZmlFCUSrp8oaDrUHGwtKSfZ7Nq+Mtl3cfyshGDtP9AWqaIYW+1+isOUkEinns+b2RgWHUCoGHRYOQgJRnsI5t13YDD4XAcQzgZGBWdjnrjW1v6g5fdbotcv27lft2uGnEmEzpxQo04JYUYWpY/e9b2sb0tcvOmaQJKJV3/xAndJu2QOx2NNqRVB2gBmEypUDCC0GpZ9CFtBIT3T4kj54mgcZAQ7O1ZhUKqWyASkpIBERNPeqrA4XA4jhWcDIyKiQk1eMWiec/ZrHr3jYbl2be2zCCL9BvDGLWssFZTD39iQg091QV0IywWlQhgjCcmlFycPm0kZGLC9kuaAuMLGWBmQ344bo6LY0q1DO22bhsxJCkHiADLD5vbYJAMDKtycDgcDsfY4WRgVBSLavhLJRPwTU9bnwFKD2s1FQ12OurNM+9AjPp3JqNh9mZTowUTE9px8MwZTQ9ks7psoaCGmAmLYrSOgbmctkDO5XR/kAC8efoTMN8A0QjEiogK+Y7eAIgImTApn9djR9hIC2TIAoQHQjJY8si2nQw4HA7HsYKTgVHR6aiBbjTUCJZKahQxnvQQmJ5Wgzk1pZ48HnbaNZBcP42I+I4yRLbZbJpAUUSNMwY9BNs/EyGxbrdrZIC/qUgQ6a9EgFxguFPhINEFdArMkxCCpUQGRYmDGLU6weFwOBx3DU4GRsXurv7QUhivndD/7Kx5/Pm8evrNpnruhYIaTfoRpE2FEONhhJkQaXdXl9ndtS6E2azuKwT9rlg0soGhb7f7uwvSYZCywfRzZihMKwAgE/W6HgepEWZdBBwT8y0cRAZEPDrgcDgcxwhOBkbF7KwatK0tjQowk+DkpKUOyMOvrakhXV/XdRYX1cBevqxe9syMRg4oQ6S1MeH8SsWmR65WzWvHoBeL1tNgUDtAJIB0ATn+NCWQ9ifAWItYX4J0CubpaT1e0gsp0jkN9iMD3oDI4XA4jh2cDIyKWk3kyhX15E+csDw7AsJCQYkCtf3k32NUTcDEhEUDHnpISUS5bAZ7e9tSADs7NlcBPQ0I+yMEJFKB0LDVsiqFXE6Pqdm0FICIrQtRSMsPRYw0EI0gTcAygwY9l7Pv9iMDLOdzFTgcDsexQe7WiziGolLpF9FNTVk+HRFftar/nzmj4Xxy5Xt7SiBE1NBXq/p3q6XeNemAiQkTEIagZYaXLun2MhmNNGQyIm9/u36/s6O6BAgEYr/paT3evT0TOLZa1s4Yg18o9BvxlCikEQO8+2GNiOjMeBByOd1f2v3Q4XA4HGODj8SjYmZG5NQp6xC4uKgGcnVVvfGTJ9WYXr8u8sgjGiWoVrVpUKtlXvilS2r0T5828R/efLNpcxxMTmok4pVXdDvFovUzWF9XsvGGN5hgkdbFExN6LOWypRiYhKhe1/+Z2hhCA0gFDNMAYNAHkUYO9kPayMjJgMPhcIwdPhKPislJNbzVqrUXjlHLCBsN6yy4u2tee6ej3v3GhhrfQkF/b22JnD+vBrteVyNeKJhBD0EN//XrqlV4xzuUjLzwgk2jfO2aaRO+/dv1707H+haEYMeRz4vMz1s5IYJFRIcgJQaDSNsU38r4DwOpAofD4XCMHU4GRsXWlnruExOWElheVkMfoxrdmRn9f3lZjXixKPLSS2rwT5xQrUA2a70Irl9XUjE9rd48Hnw2K3Lxoq73Td+kv7NZ3f/SkkYV8nmRlRWRl18WOXdOjfzOjm4rnQmR7oelUn9bZAhICqoLSAkMphBE+ucvuB2klQqjrO9wOByOI4MLCEdFNmu5/U5HjXCtpuSg21USUKupwbt8+bWCuXpdCUAqOmw2raVxp2PNikSUfExNKUlASEh745kZXY55D555xsoA0Q/QhwARYCbT32dApP/4iBYgOBzUAdxpA6H9RIgOh8PhuOdwMjAq6nWRq1dVI7C1pR797q4a5ulp/X9jQ43o2poa+I0N9coXF3XZ55/XtAEGu9PR3H+xaFGGEFQnsLcn8vjjmg7Y2tLlEQN2Ohr2r9f1s7U1ka99rb9zIUSF6ZQRMlKJkBr8dluPv9WybofDxIJUG4xSFUCkwsmAw+FwjB1OBkbF1pZ67s2m6QNC0Bz+zIy1K56a0mW2t9WA7+6qwV9a0mgAWoNKxSYdunZN5C/+QokCpGNmRg075GJ93T5jAqOzZ22ZixeVAFSrtm8IBxMLNZsWHUDfIKLahZ0d3TeRhP3IgMjoBt0nLnI4HI5jAScDo2JuTqsJ5uY0OsDEQJmMdRx8+GEN64egqYJ63foSLC0ZWaDxDwr/mzeVHBQK+jfdDTc3ddm1NQv9T07q/kolkQsXVD9w7px+9+yzati7XT3OZtPaJzNZEVUNqPs5FyY44pw6nddWD9CtcBhROAxSEaLD4XA86CBFPAY4GRgVzDXA/AKFgoXkm001zA89pIb6xAk13pWK9SdAnEf5IAa9VrPZD+n+d+qUefZMCkSvgvl5aw1cKFhU4u1v12O5eFH3c/Kkrlur2WyDItbAiAhBpWKTKImY505r5UHDfSeh/jslEw6Hw/F6AvPJjAFjJQMhhHeHEL4WQng5hPDhId9/ZwjhSyGETgjh+wa+64YQvtz7+ey9O+oeaPm7vq5G/Nw5M5aFghrV+Xk10uT2czk17LWa6gHm5vq7B3a7GtKnhfD167rciRO6LiH7qSljkDs7uu163SIGhYJGJpaW9PiYVXFwvgQRIyJp9cHMjBEMFP+UQdKaGBDVGDXUPzgZksPhcDyoOGhel7sVZLVjAAAgAElEQVSMsZGBEEJWRD4uIu8RkbeKyA+GEN46sNgVEfmgiHx6yCYaMca39X7ee1cPdhhyOTWeN2+qUZ+b06ZAGPqNDWvqMzmpBnhvTw15va7b4PPr1/X/c+fUGDebxg5pZjQzo9ui7FBE940O4coV9ehbLV2GRkjVqn62s2Mkg3REOssgPQ7m5myuhFLJqiUocRSxaAbEglbJoyCbHV2E6HA4HK8X4FANTv1+jzDOPgPvFJGXY4wXRURCCJ8RkfeJyPMsEGO81Pvu+CnM6nX9yWTUm0cTkMupYZ2b07p/qgj29vS7SkWN56OPqkFdWdHPczmNJMzNKTnY3FSj/Pjj/R0DJybUULdaSgYWF3V/W1u6PG2MmacAbx6dAI2Slpc14lAoWHVBCPp/JmPTISM6JJJAOWGjYRUBzLswOXn71zHVDXg3QofD8aBizGRgnGmCcyJyNfn/Wu+zw2IihPBUCOELIYT3H+2hHQJbW2oAl5ZEbtzQPgMbGxqen5lRw7a5qcvmcjbTX4wauq9W1fATht/Z0YZEy8vWhfD8edMVkEu6fl2NfCaj29jYsJLENPw/NaX77HaVNOTzlkKAwGxvKzmh4dDgQ5jPWwqASYj29tTo04GxULDowChwEaHD4XDYGPgARgaG9bq9nVjxhRjjcgjhcRH5wxDCV2OMr7xmJyF8SEQ+JCJy4cKF0Y50GNLGPyJ2AysVNZzLy/rdm96kBKFQ0OWZj+DKFTWmy8s6i+GZM6bY39zUBwNjS1VBCGqgL1zQz2h/zP9ra2qku12bbjib1XVrNY0gTE5qRODaNV0XYSHzEqTzBaSeeqej6yI+hHRwThCWwS6Gh4HrBhwOx4MOROVjwjgjA9dE5OHk//MisnzYlWOMy73fF0Xkj0Xk7fss9+sxxidjjE8uLi6OfrSDmJxUg0u/gYUF/eyrX7V5AWjV22xaySHCwelpEwPu7oq8+qoShGrVugnS5vjRR9VYtlo2F0KMNplRNmsEIp+3kH2nY6mDENSQU8lQLOrvclnP58QJWxfQijiE/jJDjrHbNdIiooRjFCGhkwGHw/GgY8xkYJyRgS+KyBtDCI+JyHUR+YCI/NBhVgwhzItIPcbYCiEsiMjfEJFfvmtHOgzdrhpW2v7OzWnY/epV8+CZEXBhQb9bWVFtwdSUyGOP6foLC2rQKxUjD9msagHW12065ExGjXoup/uenFQCMDGhhKTV0vUx2pTszc0pOaEb4d6eHgMVAq2WChchAenMiYWCbos5DPb29LNy2XQOtDmmGqJef+3sh7fCnU565HA4HPc7SMeOCWOjITHGjoj8uIj8voj8lYj8VozxuRDCx0II7xURCSF8cwjhmoh8v4h8IoTwXG/1t4jIUyGEr4jIH4nIL8UYn3/tXu4iJibUQ65UrBxkelr/ZmrhTEa98UZDP3v5ZTXgqP4xzpmMEYSFBY0KdDpKBra39fepU2aYi0UlG8Wi6Q0QAGazJhjMZrUrYYzab4DpkKtVJRnLy/q707EKCCId29u6XC5nUYR2W7cZo+4DYSEEhp4LjcbtXUvXDTgcjgcZYxYPiox51sIY4+dE5HMDn30k+fuLoumDwfX+TES+4a4f4EFgquJsVg3m6qp662fPirz4ooXqL1/W7yoVNb6I8jY3rbHQ3JyVG545o7/LZTXckADEe7WaRQhoRkRpXqNhrYY7HRUa0hSoUtF0Qz5vFQfXrqnRX13VYykWdd1SSfe3s6Ppg0ZDSQLNiZpNPd7JSatGQBxJ4yXIyWHAxElOBhwOx4OIY0AGvAPhqNjcVOO+uWmes4h2JaRZD3X6OzsmOCwW9bvNTfXEJybMk8ebR8jHNjDC+bwadaoRmIWQpkK1mlU5xGjGenJSDT7bQVx48qTpGDY2rNkQUyRTPrmzo8dYq5mGACKEISdiAG7XsLtuwOFwPKhwMnAf4+GH1Qhvb6vBpHSw0VDjSyg+m9XPazUL67fb+jfiwqtX1fhvbWk4n3LDRkONNFMgFwpKIog6EBUIQf+uVpV85PM2JfLOjnr9zHFALwSMOiWJkAxSF+22dUYkBUAXRFoUk98iPcF8ByKjkQFmUnQ4HI4HCYzjt6O1OmJ4l5dRceNGv1hud1fJQbms3vzKinrjZ89qeB6tAOr/yUmNImxsqMCPuQbwyvlBmNdo6LZrNd3WG96gv+kQ2O3q35mMVSrEqASB8P+rr2o0gBx9Pq8GvdFQMlOp6HenTlklQrFoKYytLYsKMLGSiLFZQv2jePmpbmCM7NjhcDjuOcZcSSDikYHRQd6e7nuU6VWrVjKYyajBvnTJ2gHjaePJIySkQdHMjG4rn7cugDMzanhrNf2/UtHlV1Y0MrG1ZSWCzFJYLltKYG5Oj/XVVy01kcupUFHEUgpMwUyFBA2PKhXdx5Ur+ntiwrQHIsZmmUBplPw/kYoxzdjlcDgcY4OTgfsYX/d12iq4VFJjubGhhrdYVGNaKom85S3q/W9vmxddqSgJoHlPq6URgUxG0wFpQx+iDRCOUsn6EjQaRibabf3/5EmrLtjZ0f0iIoxRIxDttpIDUgR7exZ5aDR0va0tFRfWapZqYDKjTqc/3QHoSZBilOiApwkcDseDhHQ6+THC0wSj4vJlDcfv7tpsgadPq2Hf3lbveXJSb/DqqnrptZoa4fl5y/PX69qlsN22tsa0EZ6Y0G2Vy7qfqSlNOyDoKxZ1H0x1LGIRhE5HtQhvfKOuT9lfJqMEghRHNqv7uXpV/8/ndZ97eyKPPKLVDcWiRhFiVDJDOiMtIUxzXRCf252BK5PxyIDD4XiwcAzEgyIeGRgdzC7I3ACIAdN+/2gE6BZYLKrhnZ620r5KRXP0c3NKANbWdJvsA+PcaNgUxij5Z2ZM7V8qmadfryt5uHxZ988+Ox1NLyBCpDMinQlplrS2plGH1VXtj0C1AiSlWrVzTftpM7MhZYWjpApEPDpwv4MmVQ6H49ZwMnCf49o1NZrdrk1PXKtpXp7w/dqaGlRm9ysWTXAYo3rss7NqqItF89pzOd1epWINiBoN/X91VX9u3DBNQaVi/QHw2jMZ/U3p44ULNiPi008bKUBbsLRkbYVnZ207CCUbDatSQJ+wu2szKqIXQDw4qm5AxMnA/Q6mth68/5AEps92OBxWSeBk4D5GvW5eMp34qlVT1JfLaqiLRTXo9br+vbamYflGQ1ML6AiYfKjVMvEehnFry8L35bIJAUsl/b9c1u+np61JEJ0P6Tdw9qx+9sILWmq4tmZTJZ8/b90Ji0Xdd7Wq22y1dDkG8Wq1v9phfd2uCeWGlAmmvQduBScD9z+6XUv18Htvz2a2hCS0WuM7xtc7cFAc9weOgXhQxMnA6ED01+mowdvZUUOYtglutUyYJ2LKfEL77bYa8bU1Exl2Ovr/zZv6kKyvmyfOvpgfYGJCNQEnT9qkRvQCwDtbW9PPWi3d9xNP6P9PPy3yla/o8TLTYbOpJKLZVONPW+VcTn/fvGnHmHY6JOUAMhkz6LfjAVJn62Tg/kOrpfcNwSuNt0SsdXUup+SV9+N27zPiWH8+Dgbv5O0Qccf4cEzIgAsIRwU6gVJJJxXa2VHDS3teETPMNCI6eVI9aRT8rZaG/IkgkMPf2tLl0lkACwX9XET3u7WlYsPHHrPtrq6agW40rN3wuXO6LHn9J54QeeYZLRU8c0b3QTqA2RUpg6zXRV56yUoROx1rmUy/gbTFMdUQaCW63dubfCMlEo77A3t71g8D4auITWu9t2flqCKWDuOZuZ39iFjTLsdwQAJupyW4Yzwggsq7MUaMn47cr3jsMWslPD8v8tBDrw2RdrvWkAjPeXHRhIAiSiDW182jKhT65yFot3Vb1ao+MPPzavxFrGFRPm9pBMSAKyu6zZUVkeeeU6+eEP/enhr0fF6jA08/rdvK51VXsLGhx8yAe/WqihHRDnz+87pNohloF9IHGwFhs3l7FQJ3o7wQT8lxd8D9SqfqhgA2GqaZAQhViXTd7n684uRgcJ2cVB9/HBPxoIiTgdFx+bIacYQfs7M2zTCKf1ICjYa19qUUcG9PjS2T+ojo3+WylQfW6zZgNptGFk6eVANMC2H22W7b8ZTLlhp48UU9hs1N23cIIt/8zbrsl76kbZArFRU4EortdjXawDq0Ir56VeT55600kge51TJvBBFkvX57+WGiF3cS4sRTBaQxfHC8O6B9dbdrBDKdQZPmXCny+duvOkhLVv1e7o80MuA43jhGZMDTBKNidVW98okJmxyIToAnTuhglzYM2ty0OQFIC5w7Zx44EwaRY8fDZztoAtJ5A9bWrCSxUFDiUKtZhGJ6Wte7eVP3m8vpcTCVcQjaGImmSQsLej7Npm4XMnHmjO5rZUXXKRb1XGPU7U1O6jGngzRkgGMtFPqNQqdjIWSqGET6RYS306MA0ECJMsd0AiUPL98dkPLiHqcYlg9Fh4KuoFA43H7YFs+V38vhSEmT43ghRkuppQLrY0AGxn8E9ytqNTXOKPtv3jQPeHpa0wiI7WhAtLenefybN01Uhfag07H5CubmLM2AoU2V/XjOtZqJ/Obn1YivrJiQcG5OiUm1apMpEcpdWjLv/5FH9LNXX1VtAR4/kQQmRbp40WZepNERnj/nApnB8O/sWPvkcll/Vyq6Li9DSoDwFEcpPaNiA8LBNlIy4N7S0YPo1mDek65q6TUnysWEWjyDhwEEkffFMRyvt8jAKGLT4wqcIxFrOT81Nd5j6sEjA6MCoVQmowav2bSWwfPz5rU0m/r/uXNqIKkOYFZDWvxms/pwLC2pcV1etlbApBTSOv58Xr+7dk3/ZlIh9AcMwhCKrS3bBj0OMhnrQXDqlMgXvqD7XVoyw3rhgmkc1td1W6QCNjZUA1Gp2IPdatlESUQKslmLbrRaug2iFpRioo0At/vy07qZSaDSWnZmWEQ7cFhP9H7BuNXIEMz0GLj3zOCJtiT1WplAi+hYmsIaJqiCXNDga9znfRyRvjevFwPK84VjdL+CqEAudyzPxd+kUbGwoLn7yUmbOZCyv3ZbDWWpZIK4YlENIOHUfF7JwM6OGmCMJV0Kz52zkH0I9kJQvsXUyK2WGdRcTn9vbJgAsVpVg93pqM4hl9NowosvqnHPZlXvkM1am+TNTU2DtNsib36zfr+wYNvI55UAXL2qJKNS0Z+VFf0h/I8nnssp+52aUtKCshx9Q72uy2IAOp3bG8jozUDpGttNw3DZrH6fagleDxisOrnXIBpEjwxAhGdyUpchajY4xTVCwlpNI0Otlj7rg42JOL9UjOjRgdeC60tjs9cDXi8aEcbDY+qMeGRgVFy9atMR7+2pkUPAV6noZ6WS1fzX6zrgESJnCmC8/JUV9cKZCIh5A0SMAGA0ycEzYO7taQpheVmJACWP7AMvfX3d2gjHqPvZ3tbt0DjoDW9QIoAYbH1d97m4KPKXf6nbJTpw86aeUyZjwkMqGRYWbGpk+hRQaz7ovVCRUShYedqtXv500GMbzMIoYqHkVKBDX4iUeNzP4LkQ0fO63UHmVhOkHOY6Qa7QqUB00QWQCmBmzzSEzcCIfoV7RBUKmhmiBiI2u+Xt6g0eFKQ56NeDAX296B/SqIDIsYxqORkYFSdO9E9fTD6f6YHJ26dTFsMMGcyyWf375EmrDEA7sL6u2yKUmsvpNhAMYgQyGV12dtbC9Pm8Gu2dHUtjzMzoD2FbyEGhYDoEBvPHHtPvmQUREsIA/8Y3ao8CpjbudHR/1aou8+qrej2mpjT9wLZXVzU6khrydluvQ6Fgx8WLc1CdNGHiqSkjSO221a1DpPAeueZUfBx3MnCYGnHK9kaZB0LEtB6pgBN0OtYrYj+DS0QGAsvsmWlOlOvO/UlFoUSzBrdPJInZORlEedeI8tDoiEHV6+r7I2GpM3C/YlBvcr+eC+NZLqfjqYgR4Gz2WIhhjxc1uZ+AoWeuAQzhxIQa0elp9Zw3NvTn4kX9TfOeTEaXr9U0LD8xodt55RWRr35Vt336tC7LFMTNphrUwd7vOzuqAVhY0GUhBdWqGutuV49nZkaP9/HHtS9Cq6XNhqpV3c7cnH7P9MscZy5nPxCe6WnzyLe3zYO7ckX3efGiaQXqdTu/et1a0zKhUio0RHvBQL8fCB1yDSnhJDyNgUjJgIiVRx7nEDN9JQ46f67PxIQN/LcDyvogasOOQeTg0j+MfyZj02uXSkZieW6597Va/+B+0PlRRktvDHQ59K0Yliq43TLW1yMG1en3e6rgftBAkJLd7x3kXSONG4KlSnF8GMsYH8cAjwyMisVFSwPgZSJUm57Wzy9dshuOxz4/rw9CvW5aAphi2sZ4clIfGioA0AUgxkrDuzHabIlEFvCWmdEQzz1G/R5Pi+6IU1Ma7ThxQvd/6VJ/AyDEX62WiRGJOtRqSnzYHkZgY0OPaXpaiQ3TOHOuGCPy3lReEFmhL8MwcFz1us3/sLen66F9IC1AaFnESjVvtzPivQSDChM+obhPtRBENzgH6vwPKsfkWqddMkX6jWv6GSmY/bZLRQwthlknjbrgzU1M9DffOkw0gzQFzyrvDWkwUkHoFW6nMiFt8vV6AgLMtET3mIWjbwuD5HGUcuO7DdKRzaZpllIQFSgWrZEcY1KMVllFmmxM53gfPyXHAKWSGsGdnX4dQLutIfhuV40snhIGKJvVzxFeiZgHnc+rQS6V9LNaTSMNDz1koSS0AhgIygqZIZEHk86AOzvWXrhaVQEhJYmbm7rNTsfaHTca6tkjbCQ/S7lgjCaGrNdtboaNDZs9MUaNEkAWMPYYoWLRRJVTU1YKmc+bMHJ7e/h1T/PHpF9OnNDtpGHqtAQtfUGP+/wHgyI7POJGw4R2VIKI2OBxGONKuJ6QPQK+FDzHPJvDIgd4McxtsZ8nyv901iSiQTQjFReyfFoKiigUHQHboI9ESpwOcw3S4z/O0aFRAfl6vUQGBtMExxEpcR4mUOY5JiLJWAR5xS4gsh5TCvOYukb3AfBEUNNjfK9eVQPLAJ566XhHtZp5p3hKiOYQ3YnoIIgROHvWpjBmu3Nz/V719rYOAoTtybui1p6etpbFDMSZjA7UMzNWEcCAzfcnT+p5TU+bSHJy0uZISNMc6CNOnbIUQLNpsyxmMnosaU96vNpCwXL6ExPWwGkwOkCKAC+IRkhEWba3NXJDZGOQqR93pTVEhQoVRKaI8fb2LB8v0h8FOcjThYhRocI9G4wqYCSZoyJt8ENaYWVFf586ZesNI1mQ40LB9CloHaiC4LlBF9Nq6bNL5IzBsdHQ54FjSr3f9Hk+TISE9/f1BshAanDuZ6Q6gXt5Lulze6vlEFsTeeNZTpchLby3p9sslfq/wwkaIzwyMCq44XgYlM3V69qtDyNMLghPjhkLmc6Ywa7dVmPMA4gB6HbVKG5tWT+BUkn/PnNGCUGjYTMNVquWDkjzvuWysVZqdhmIp6fNu7t2zdoS5/OmCSCtIaJRj2JR1yEiUa+rxoABf2JCB+5Ox3ofFIt2buWyGWUIBmHbQkGjHd2uaR5SIGrkPAidh2ANm6hyGDboDzbCSQG5GidSxT33kIgS2ozBgYN85CAQZKY9H9CbMO22iAkGeW4Rt5LmqtX0PhIF293VZzH1QoeRrLTjGttjH5TSilg0ghbcN2/qc8fxsQ+2k4oROTd6Fhy2EiWNQrxekKYPjzvpPQzStMe9JANErG4VPeJ7RIBMPT+s8RNkNSWqjHvH4D45GRgVhMYxHPPzNmAjLsRjKRatJI8BEWU7IW7a5k5O6k9at43Qj/AwrJPeAFNTxmBprhOjGmcEXQzweIWULlJeeP26rlOt6r6mp035v7ZmufhsVvUEpAwoAaOUcm7OjPrCgi5frfbrAUJQI99q6TXEM+T4RXT96WkLjacvV7Wq65CfS3PgExP6g6BzWJniQWkCCNw4X048fxELoacDCLn6FMNSBRhXRJkiem3SZajbJ3pFlQb3IdV/kGJApMoyaYRiGBnAQOFF4RkRKSKdwzszN2eaktVVE1OiSxjsIUGkgHfoVqmCcYrSRqn6uB2knvTrobwwTXvcy3NhX7e6X5BT3j+0VUR8B1N+g825QPr+jakXipOBUXHpkubURdTonTplXj7eLsZ7ZsYYI+SBpkN4xSI6QOL5Z7MmCET0RnoBbG5auIm2lmgDMGqTk3p8Merx7u3psZZKViFQLuv5VCo2f8LGhm4/k1GjXK1qJOL8eVN3QzI6HdUHLC8bKWo0dL0zZ/T3lSvW3yAE/RvvT0T3Q7oFY10sGplARc7vUsk8QkgBBo/eBqn6PAXXe5jBZxAY1yDKftOmUnjpIsPz7CzP9wDhEstDFEkxcP6Q12pV7zmCVr7HUE9P67pra0rmmAkzNT6D13SQeKRTHSMiJJ9K+iCf132dPavLX7+uUYlSqd8oEHFLUwSH0YOk399L0seU4Hfr2YJ4HUTO7jekZOBensugEd8Pg+JbHCzemfQdAqRpRawaqlrVd3SMLdNdMzAqNjb0pj32mN3EYrFfYIdwjgqClRVTQqfK7lSBT650c9Pqq4kw0O0Q5WmlogMlYV+6+ZE/bjb1mBYW1FDXarqNSkX3VamoHoBUBqr8QsH6JgwOtqdOibzwgkYPLlxQIsHxb22p8WcdDFk+r/v/6le11XG3q4aEPgeUx127piTjwgX9LWJeY7lsXmU+bxMzifSHmlGfQyRE9LwRJ4r0i6swQpTCEUm4Vd75biEtDUM/kfYB4Jy5Z5wT3kmqrsdbJtyJKBXvhZQUkQEU9oTc0Y4QmeGZhbQ1GpbrhLAMIwN8TqRCxHQvREGItEFo0YGcOqXRASJEPAN0NqSHQXq/bjWAH7a88SjBtROxd/Vu7EOkn5zd7UjE3QZRpVQ3cC9y62lkICVYKfhucJzgujOuMM6QIuN9y2atHHZmxiKhY3JEnAyMCgafNNePMSI/jveGJ8RDk8/brH+Ehghx4o13u2a8CZniMW1vm7HP55VVYiBho2kzoHpdCQndCREcEm6HEGxt6WD82GNq7PGqt7dtsqPFRf396qvquRGiZ24CZmTEA6KSgdI/yAzXp91WQpPPa/Tg+nU9HpTieK1USpw+bS8nnmFKWET6DdfsrKUyiKJgHDH6hPW4fu22GRuY/70qQ2QgSKMX6UCEAeQ80pkgiaKknhTTZNPml1QU50kHQDwSnjGaOdFNkxRT+jxCQNCBcDxcVzQvPG/M2EkqjX2knSGpgIEgpM8oM4Tu7poeBaEr5AjicZDR4Lu7ISJMK11SUAGRLnPUGCQDKQm7H5v1pMd+r0slISE8y4Pv/6CeB0ACcMwohUVPAFln3ZRQp2m0McDTBKMC45+qRwsFm76Y7njk3WGGGBxKTCAB2ayyw1Q7gECL/u+Nhu4bdX2no4M1xhavjgeVdcplOz7q06emzDPDINAyOX1Aq1UNC+P5TU7qoLyxoRECUgLMZTA/r154s6kzIG5s6PYffVSJxKlTZihOnNDjWV62sPPqqvVZgNhgzCnTZBKldFAnBIsHSUklaRlaLlOWyeCMEex2TSjZbuvx0MQorcm/WyG8dFpTkX5vKDUiPEd4HOmxcV6UZbI+hj/tkJnOGJgSEO4z17VQ0Pu5tGSVMURRiAhAOvD8SeuQKiP8TwSHZ4z3Z2XF7ifPeyperVT0OGZn9Rkgr5qSQMgGBuQgjzit6T5qw8zzNzjpFsTrbua+06hS+nvUZxYiR3oSLdK9Qkpu7napJMST6E2qmxn2LNFafrByAyIwPW3VXpVKfxks70yqz0H3wvdjwFjJQAjh3SGEr4UQXg4hfHjI998ZQvhSCKETQvi+ge9+JITwUu/nR+7dUfdARz/yqJmMTi50+rSFbrNZNYAY0Pl5CwXhhTGgpnMczM1Z+BYBGB5gOpCkDLLb1XVPnOh/cYhIYEgRY+FpEYLf2dGoxOamDs40OHrpJTWiTzyh2+h09JxC0GXzeRvIazUd8BcXbaCfnDQjm4aeMbIQhxs3TL/wzDP2YjLpUozanZGSOKZPJpSOFwsbv3lT/6/VTMyDt4leY33dojqQIWaJRG+RzqVAV8eDuvKNAjx3jh1g+NNSQ5F+oSqleuncD+TmuaedjpFUBjh0A5wT+gryl2trlqri+WE+DMpoOZ7U8JGCymbNMKZVAyIWraC3BfqUbFb/TktkOS+EjqRMmCkzRktpcW63IgMpWT5Kw8z2QugXeaKDudtkYDCqdCcleRg2ERM6D4p57zZScnO3ywsZYyj/Y7/obFJwnyHYOBSps0alEyJqxqlMxsqqedfT+TtEHjwyEELIisjHReQ9IvJWEfnBEMJbBxa7IiIfFJFPD6x7UkQ+KiLfIiLvFJGPhhDm7/Yx9+Etb1GDygOzu2shfzykGG2AYrAlV5S2bsWol8v6UNDqF+ZI7l/EFPgMKniJg/kryg3TkkZq1dfX9QdDRz6eQWx317rKUUo2O2sh/bk5fcirVTNEeKWQh2JRDdDSkh4Phvblly1Hhqp8d1dTBLOz+gK98IIJNFdWrHMXzZIIDe/uWlqCl4kXletKWB3vkegHYbxiUfc7M2OzUELSIGoMjPRNOAq1L10l8TBELOUCKSCkiGFLS/7S5Xd2bC4MyCaeewhGMAePnTA+ZI4S181NI0MMjhjQVOyXtmClYRUDHzNulstWuZLOY4DmpVy2iE63a9eCUlgqb7i3TP+apjnQG5TLFvHZz2hwHkRiiCQcBXg+OF/eQUK/d1sVP0wzkH6+HwaJ096eGSqqmyg/TsPjdxuD5OZuXrtUi5Mq/3n/02tINAqCDInmnUnTGNmsXjvSYIwtdFlN+4cMvt/3GOOMDLxTRF6OMV6MMe6KyGdE5H3pAjHGSzHGZ0Vk8An4HhH5fIxxM8a4JSKfF5F334uD/mtghLa37eEhRDoxYSIsvCzq8dEEiPSLrmK0ioGtLSMGeLHVqj14PIx4sD7VZekAACAASURBVCI68BC2goUi8qItMOFRpk2emNCHF0ETKnweYLzvblc1AoTAlpbU0JPfFdGmRDGqsaZPgYhFB7hGa2vmiRMeSz3ykyetrBAjQN35lSsizz2nZGN310oiMQCpkSyVlLAwQRPXl+vNPWo2+9dP55rACyKqwfTSKYsfBXggRCPwLNJ+FOT403TAYO6SiBLhWwaiTEajUEtL/T0kEC4xsNEBkkFvZkavGZEsngf0JMxmCflFUwIhpNwznZSIfSGU5TiZEbNeN+Kyu2sVJnS/JJ1FJIHrI2JTZ6cVIES+eGcGjQf3PFWnH4WBYTAn4kJTLu4phD/Nfd8ObhXtYJnUkBzGmya9lvaPgAhQvQGIOt0rUeIwcjN4Lu229VW5E6SiTghzWjKYnnPqeM3M2PPIPR88B0g2zdRETINDRIExZYztlsdJBs6JyNXk/2u9z4503RDCh0IIT4UQnlpbWxvpQIfixg0T6TG44R1THkgYl3wRA3/qpVYqVqrFg40RoLQMTwZAHmjxCptl4h+8OYSLrZZNmISghRQE5ZB40oRdNzZ0gMCju3JFjzOdARGPfWZG1/nKV4ygbG9bd8JuVz18iMDNm1ZlsLqqxIeJOzBcu7taVZDPizz1lGkPvvY1q6wg7A0x4R5gHMlTT02p2HFuTs9lfV23Vy6bR5DOFZGWR25smLgwnRyHiXNGmRgn9TwmJtQA402m/SkwshBLkdcKmfAs8DzRqtBdMO0HALFIc9qE6rtdm2US0SW91gsFix4hfE098m5X7wFRjFrNQv2p0JPoGc8vrbAhI+RXueZ4oVwPqhjSkC7XiL4Yzaa9Szz/Kbi+acj+KMgA5BCjDyEYTJGkjZJuB+hmDjJ6iN5S3Kq8ECPIBF48Z4NEID3+exUZGEYGBs+Fd/1OJ/eB5PIcsj8ctjRywFgx2BNlmMgYMgCZ5fng/jNOkbaCNIwB4yQDw2Ihh6V3h143xvjrMcYnY4xPLi4uHvrgbglCpGmYkdw4SmleRMLP6QvHQIXCnjApDzz579QTQyyIF5I2f4EwQB7SzlaICLe2TBF+4oQ+eFQyQAYyGT23Gzd03YUFEyo2GkZc2HeaB7t+XeTZZy1KUavpfstl9fSuXzdRJOHe69eVKODxERF49lldZ31dtQIiOnXyxoamEJgMirA0HvDOjv5geOi9n6rkYfAMeHSuo5SS0jUMBWFAhG8iFnWBfOnDdjgPhQGMe0goHOKC1yBiszkSURo2QKcKesSZw8AzQfi+XtfryfwXU1N2Ldkmx0b9P02iGOCaTV0vxn5RKqkLIjJMZEUEAaNN6oJnmvQDDbNmZvTZ4hpwDqTKKE3NZHQf5bLugxLd1OjyLvC8I0C8UzIAMUkrO0TsnAZ7LfDdYcF2RA42xMOqBm4VWkdTxLPHO7KfYp8S6LsVrk8xSG7SKCogvYmDNQpSYR9j6WAOn4hJpWJC3MNMO8w58NxzPmhciDBABIhojQHjJAPXROTh5P/zIrJ8D9Y9Gpw/b/0CUhU3ynZCygyk09NW581DRl6eh5xBNvXw05wTQj+ICPvBo+aBSsWGDK4IyiAXDLI8fAzczCxICRedEylFbDZVF4AnSQgM9ezWlvYTIF+/vGwpAJrUnDunx0WvAYwi0YhMRg0+0ZeNDb1eDPAYFhF7ubjGEBBqePFgIVzM0Eh0gfkbmAaZ0CCRlrSF8sSEXo8TJ0zkSeSElBDX+iCQP8RzB6RxyCueOmXzVCCWHAREhlJTkf3JACSEVAfRG/QSaYliWnUAYUx1L9WqRWLYHteb7UEsmAkzraFmEOcZ59jS1AJdK9HFMOBPTen+SSmEoOeBx8+zkZIBUgfkdQdTdHcCjj0V9Kbe6iAZuN36/zRsfZDBQ7yY4qDIwLA6+Vt5pix7L6IDg+czmGIhQoQTk7YBvh1wLpABnhVSsowljFMQJkjasIoj7i/jOsQ6FSOXSuaQkYqkW+sYMM4+A18UkTeGEB4Tkesi8gER+aFDrvv7IvJPEtHgd4vIf3/0h3gAaKfLAEf9fmpoMLCVij2sDKz5vHmmeMppaoCHHOU8RCF9+Nk/Dw+CMP5mQGo0jO0TlSBEjgfNJDBp3oyXAoLQbKoRxEObndXjIzWytKRe/quvijz8sK5/9apNtJS2aRZR739lxTzFp5/WSoTTp1/7MhUKul1y0swKSTkmWg1ezPS6YdjTMk4M/9mzVjmxs2Oto/H2MEboJRgMi0UrwSSdgk4CA41RZTAg503khtA+YCBDeFYsGhkYpuLG6061AMOmUAUMXLSwxrDTIROk5YV4+EStpqYsDL+4aCRKxKJcRJ+IyNDyemfHritzG+Tzlvc/dcqeWRpybWzovhcX9bqsr1u0Iq0o6XSs4RWTHZFCE9FtVipG0EWOrtcA9zo1qjznEMvUa78dIRzPDQRvlMjAfsSDz9PwNmkcQuaDSPt63G0MRgYGBZGIbUmNNRrmtbMchP6gPiEYfPaXphy4d2llDx78IBjHcfjS5l5EX9LIbrFozz7jeKoruMcYW2QgxtgRkR8XNex/JSK/FWN8LoTwsRDCe0VEQgjfHEK4JiLfLyKfCCE811t3U0R+XpRQfFFEPtb77N5ha8vyxoRy07rwNJ+MseElI0VQLKpxpafA7KzlotIcNaIryEEqcMPzhiykYa6UoaYCLB48DCXfkeI4ebK/1IwwF7llPG3KxiA3eG27u+rVP/aY/r+yol6ciBKJr35V5E//VKsGaAa0uKjHvL5ux3XpknYlXFrSaALe/9aWTcE8M2PGlxbJ6bwO9DH4yldU94AXL2KVBRjdbFbTIGtrJgSDvIn0DxKI3njREegxgVOjocdIC+btbdNM4MEMem3drn63vW2e9ubmcN2IiOkJiM6kRmMYIIJpjwvSPSkIxa+v2wyTPH/nzpnHtrCgy9NZk0hJuazHTVXDYGMhBm0RI0TMbIk3v7Ghy7da/Up8ng0iakS18LTm5nS79CfAeNZqdl6pgHcYGYDU7Id0ed619LrzTjHpFp+B2yEDkDzGg/3U/IP5dXBQ9AOCl6YuWO4gLUxaM3+rY78TDEsTiPRrSFiGa4RWhOXSFMt+wEBT2YMXTySGaOvenhlvorGlkjkBacRCpN/AMzbwTKcNzei5Qqp0/t4WxoGxdiCMMX5ORD438NlHkr+/KJoCGLbuJ0Xkk3f1AA8C3jQqf/oOZLNqCAmvpvl5cuukANJ2wyiciRZAGAbJwyD7T0OnPLSUdbFtHuqU7VOWJWLbxFiI2DEheqHskHx8q6VGmqYyeI2USy4vi3z5y7qdctnmpCddQvdE+i8sLel1u3ZNjcvsrBqjZlPkDW8wdfvUlGoIrl7V9agQ4BzxSKmHp5pDxHQMDNIYRozY+fOWquB6piw+reUXsUgEYevLl232SoR9kET0BTdu6Dbn541c4E1AwGJUo0YpEgJNpqFm/3i/CPzwTod5iGnpEqSBVtIY9RStlh47ZJX8PikoNAPk7/Gu0AxQujo7a/sjNQFBYCBFALm6as8sIlNaeXP8iELRIdRqGhHA6yJqQDvrqan+duGpahwSlwpOOXfu82BqhihTWuLI9WBcIIUy2AeE+5aGu/fLzQOiDnjk6bucAiM+uL3Umx58JgarU9Ko4uCznoL7xz0fBtJWPDOjYFh1BBoTSNzsrBEkel+QDkxTUvuBMUDExjzE35BCmrRxPWZnX6sXSKMlkAVSq6TmaPpGymFqSp9vohuMJd6B8D4DofqUeaPi7nYtVIkojQdiaspepq0tSyEQVkKBDPtOBzgR+5vwsYiuTz5/clIHcPZRKOg+aQeMHgF1d5pioHHP3p6FuNKmNkRBMPDb2/aSUDO+sWEezPPPmzp8ddXYNnMg4JFWq7otvJ+dHVOx81LfvGmRCcSKnDfdAiFnCBYrFY1CMI/CY4/pcV2+bO2W19fN+85mbQ4Doj3MmsegkSq6B4VolYoeJy102c7qqkVTdnYsj86Ln/YWYAClvpvzJ7VDvn5nx+5vWv5Eud2gJ8izxHNFOD/tYwBSAWuM/WkCvCbSJKy7tWXRKiIDKyv6d9pxkNQRJao8y92uaUpoPpS2MYZMksfd2+uvwkm7xUGiiKwQFUDHkobrBysKEPjSh2AQRAwwOpB0QMUDkYtUg5K+r+zrIKRRATCsCQ73TGR4ZGDYvogCpMYcHQfP9H7RgWHldoPgu1HTCRzvMALD/UwrirgmzAxLDp5tQR7SttAiNr6lvUUggbyPPH/MiIqjl94H7nF6XRlDIQcc5/a2CRCJ9PLM3Stx5hCMNTJwXwMvmrwkeWPCmKlXDrvkIaRfAA/nyZO6zNqahdnTBxahX7Npwqw0xIRCmhcYz5eHnMGEvDPGAPaK2DAEG4B58CEHaQRibs7EjEwIRP4Zz42c7tycVRBgxFJh38yM/n/1qp7PqVNWEdBsqrdOGmRqSg3r7KwO8pcuqTZha0vD1/W6edAxqkGhUoEKhJMnbZ6F9XXdNnoGyMjMjJ2LiIX78AQhaIScURsziVIup8eHGAiixyBK10UMXbof8uM8BzTSETH1P5EfNAIQFVJMe3v9ZEvE0jsMSAyWaeSJqMLmpl1zSizRnXS7FiniGSRKNjFh6RAR87QIweKhr63ptTxzxkjY+rquS7SAkO3srB7L6dO6X3pYEIEplXS9YlG3Oz+vy5EnpirmzJn+bpJ49AhAef6JlnA/0vc2jRJBgEsliwowoA9GBCD7eLq3QwYwTmA/r3w/4zmYZwepaC491kFNDMQqBeeQlsoNguNJrxcCT76HLA3DMHKDvoloGM9O6tgw/tCMi9A70ViMLYLrnZ3+9t6Qc9Jk+bylntJIzmDfD4gy5CdNXXAN0Crt7qozwPXmXOi6WirpuHeP4WRgVDDNMOWCe3vW5ITwPyF/elMT0k5zRwz0eIdp0yJCR3jDDPqpICnNO6eMnVA1Az0PJFqGVsvmTYDJFoumhdjbs+oHHlAEYKnxWl/vF8ch4MvldD6CvT01wFQPTE+buOrECd3v9rZ2Jpybs9K69XX15i9cUOFgt6tGe23NUgjXrok88oip7kslPf5sVj+jK18Iuo3JSQvxkWKoVEQuXtR91+vqrSJCSo0Pgk+IQC5n1wrPcGHB7n+adyRPzrFkMjZfBGFsSCSRnbSypNXS465WlQwtLlpDG8gCz2FausT+OQYqFQhdokXBaHP/t7ctJ0rqAsEl3g7PLPcPApZ6w9wjCAepMZ7palWXgWR0u3p/iVwRiWJ/6FcQ787O6s/lyxaV4lqurJjYcXvbSidFTNTF8Xa7/SWjEFl6JUCiRPpTAmlEQUTPh/eIa0OXOd5LngEIeAoIN9slmpgChyNtUIMzEmP/DJccL8ukgKSkZCHVPhCdHJwMC0AC98Og4j8dF4jwkCYchsG0B6lJIqODx0/kjHcxnfwHjQqRBKJijKM0JeO8KJ0mfUQYf3fXnlU6ukLy0/Qr24Ic8B7i/EHwiC7RfwaCepiSxbsAJwOjghw2OSAGeQZZ8s2U9kEcMOoMyiL9/fBp5MPLzqREqRAQQ0PoPgXlhqkiHFIx6B1Uq1beQjOhNJTGYJS+fLwgsO1qVY16SjQIlxWLOkBjPDnW3V01ujHqua6saNh/d1eXP3tWl0OIubioRnBryxriMCV0p6NRAa45OT1SHPm8yNveZh0L0xKks2eVTDz7rPXhD0GXO33aBl1U6BhOUi7ch/V1Pd7z542s4TFiZNFwMD8EBpyQLB4lno6IpQfSwQbh5tmzOvBXKrrduTndLt4q1w6ix/OUljZxH0lzLC+bSFNEz+XGDYsioXtYX9f9c78Qil2+rMdSLivZIm2Rdm3M5/W7+XndHo2HiHosLur1T8PxRMXIxaNbmZ3V56hctvQQ59vpiDz0kOkkWB/jnwpM014ZvDci9u4iUuU+4N3RS4QBHoLCQN/pKLmhFG3Qk+RZ4d5CdhB2Qt5SQLTSEDXkGoM5TBA6LG00TC+QRgpoY57qi0DqeAzTDRCl4jowpqX7PSgykgqgIZB48PQ8SSOs7Cd994lcMc6lrYIZqxibGB9Jc1F+Sjif+0sVDnNjUG6cEmSeJ5wxfqcEj/eY9x1dGSLjMcDJwKhYW7NBgwGHARggYkpRrb62bWX6YhOiGjQ6lLJAKtLpdkWMiNCDAOPDS7KfopiyMHL5KaulfSz6BAjMzZs2uBOaw6BRooihnJ9XI05ud3bWtoPhFVFPfnpaDQ1la6Qjcjn9IafM8ZbLWo54+rS9RFQlbGwowaD/AcRqZcVeznK5X6A3O2v3cX1dt8WcDAjopqdt4EBYJKJkBQV8Kq5rtTRiQHldCGp0GQzwtJmoBxEU5Zx4aIj0Jib02IiGnDxpgxEtZRn08GAQzvE8MNU05ISo1NaW3i9CrqQpdndF3vQm3cb16/0K6s1NI3Zra3oNMhnTO7Cf6Wk9vo0NXZeGWmk0Ik1BMQcHES6MIwMtWhhSJTxTrZaeQ1oqRtqgUrH5FjD+RCgg1xg3yB9eHeSE+9Ns6n64x2m5KGSDqpDdXT3/Qd0AzgBzkdTrFuE6CNzHNAWRVrdgcFJtRGp499MLsCzAUA3L+6f9Bhh7WD8VIqYRISJMZ88aGRqGVkufq1TYTNqLPD7b57rzXuJ1oxuAPInY9UCAWq/rPSZCSLqIjrKTk6Ynmpuz68szjXg2ve6kHQb1A/zP9aVkFtLMTxrxucdwMjAqyDdzoxm0YeHDyofINzMQ7ScG4oWCZKANINTGQ0WKAY+FwYzeBwyWMHuIAURi8NgAIWeODc9QpL/0jeOClKTq9u1tDRF/27dZyoSBkXD9jRt6vOggZmd1PTomMt9BqWQ99Em7kOJ45hkrxcGTQYA2NaWVCFR8zM9bN0O8ByIy3BN6E1BGlCrKb97UY19bs8ZDhPZp2oMB7HZtiuZu1yIaiCEZQBE6EspeWLBQd72u58n/DBKVil47Gp+QDmHA4d5xrTAMkEh6QzDoMcDiJdPJkWgFzxzpgBMnrB315qaFfBlkT55ULcfNm/2tnDGaeFp4/HhpRCROnbJeFpubeg7z8yZsDMFSSqm3BilIa/LZL0SCVA/vDdGectm6WuZyVvLK84+oFXJAaoznpNPR8+ZaEbpPo2mD6b20BJiIH8tAxlOtCcCzTnUtaSQBo5vOVZEa9GFRAEjQYDpgMAoBeB55ZtKxg/cFw8x9hohRS59eQ4ghBpbOlkyOxH2AuDJVekpe0jJANEYpEUwjHCmJIkXCmEy0lPcDEg9xrlT0XiMQJiJB9cDsrDUf4zqhqUrH1KUli1Sh0eIZHAO8mmBUECrEiyJMKWJhn8GXjZeQQTGdsRDgcQOEUIPhRQwy2+YlZtBHBU44mI6D5NLSl3YQEJG0FC0N8/GgM5CR+2VwgqRsb2vouNvVAR5x1+ys5cpOnrRoBmFyBsO1NXt5MJp44MyG12ppR8RXX9U+Ahzv5qZ5mi++KPKlL9n8BpC1el23S2XB9rZ5Gjs7+j/dDpeW1Cv+0z+1XghMPJVWX4hYLpCmTI2Glc0xOEPOrl/X/bfbui+8C6aRxgBBChlgKpX+CVq4L6ifEShyHQkfYwwHxVyUh/I5ddGEvV96SY+vULBKBrx7Btq9PT3OUsmqZLpd9fyvXdPjQcRJxCGbtQgLXjrPMFEBqk3KZb0uaTMplOV4jhDgrS0zjrWaXgMiSxgfzje9JjS1unnTSsDwMKn0EdH3W8TCyohieSdpHAWhGCxzS3/zzqfCPIjjsK56XB9SlKkOAW0LuW5IYeqYpNG89J0f5pHu14tBxMonU1U8z4GIpTxINZAeInJZq1nVFU4MfyNeRWBLFJFxFIKHcRYxQpxeb9osQ675jkgb1yGTsTQp71oI1j2T6BFjH426IN44MBCdUslm46S6hveF8upSyabs5jmhK+0Y4JGBUQEzHJwxKx2c98uJwahT1TcvLuAFYHAkNAZjxasFPOgiJoYSsW0yaKaRAhEzLsPCfBxrWpOfqqsJJacEhs6L5KcZjDCGeO0Yy+lpK2FjYKnXTZGezqrI7GoMIuTbL17UCAAhZPQFJ0/q3zS0+Yu/UH0BnfMQop06pf9fvmyRE8RpVCV0OmZMaCp07Zqu9/jj1s+faAlEqlSymnn+huA1GkpGOEd0DYWCDh6kVKh0wABDuG7c0H1jqNIqDkLThJ+pUOBZSY8BkpFWEKTGaXpa5C//UtdBFwEhyuVskK5U9DiXlqwHABUqhE4hKmtrNvslvR/m522SIsg20aKXX7YOhUSjVlf13j/8sFYLcK3wBF95xUpF6WCY9t/g+ZyZMaJSLOp1JQJx9mz/zJdpWo73lHfs5k2LTCBExJgRZWk2LWWQljUiOuY5h8gQcRvUAaD2T6s8cAh41ug+mooIeb9vpRdI33+WGXQeUi2LSH8rXZbN5SzCRsQGMg6pIWpIaSrOD4YfopWmHIhmcQ0ganjfGHXuEdGwTsfKhknXovkhujrYGZb7TiMrorI7O7bPixfNs+c9472iDHppySIPkHR6mqRj4LC0zD2Ak4FRgZec5towzoS/UuU9LyHGFLLAiz+MOPBQA1ISGHse2MM8PIQ9YflpHTXGncE0JRMoaWHL5O/29tSYpopgzjEV5mBgVlZsIiJmvpueNuPHeuT1CTmvrfXP80D+GYZeraoBIcT+Z3+m31PGKGJM+/Jl0wiQn0W00+3qseC5MgXyjRtWRkmtMQPp2poa86tXRb7pm0Te/GYbjGI0UeTeng44W1t63OfPmxeUydiATfvd+XkrvaLLJMaxWtXjqtd1+6dP91eDULmBWJLcPcYC44KxIC2wsWF/r6725znp8odOgXApUScGPIxZraZE6fp1OxfIJB4r5YAIXtF7YDQJm09MmDhyY0OXxdh/4Qu63rVremznz5snmM/r5zFaGRc9GiDTkNN0ClqeAwhuatTSaAsVQjMzVnFCiJ/rgjeaptxSxX5ackf5KcazVLI0B+Hs1IDjDECMMLAgk7F7zH1O2/QO0wsMIwPpGHNQd0u2mTYgE7HIKQJUUgVcc1ITaVl2WrEBSc1m9T4yBwXnzXNOmglyNkh4qIyhnwf76HZt+0QWZ2d126++qs9UKjqs1/U4eLYGS8EZW3kPeIbTVARlsJTOoqfBFlSr/X1k7hGcDIyKQfHe5GR/v+qU+QO8bJH+ZYcRAULlDBiExFIQ0j0sk+TlSJsNATyRNMIA8HLS0CYhQgYZypA4x3bbDBkiPNZlUOh0LHTP8vS6p65cxBj89etqGJaW9NxXV23gpbyMwQHPmF4JELRLl6wbXqtlCnQmbEqJCemIzU01wGkFxCuv6DYoUbx2Tdd9+GHzKNKySyZbymS0ERKtc+fm9Bh3dqwLH56oiA4alBPiedMd8do1bel87pzlHbkn3A9C7Qy0PLfkMVFbl8sWlkYzgSFAkwAZYp6Ly5ct3IpADMFVKm7L521CJLpUlkp6HTHATGNNQyoGyRdeMAKZzWqpabOpnlijIfKOd+h1fuklKxEtlfQ4Njd1+6dPW5pra0uXoVvk13+9pezQKCAQo3vl0pIZsRgtRbW0ZBEqyAAhfq4hfxMKJsqXVhBQbUEKC0+UdxJCRvoGQ0NUi5z9YL5fxKJnlC0Tjh4kA9zrFBwHpJCcfqrex+uGvFJOSSQFxTweNtEmnkHGFMbDyUnT/bAtoiakJQdJXLttzc5S3UBKjogYpeJqEUtTTE8rqZ+a0nftlVf0/RKx6BXj/Jkzumw+31+ezXjPGEpEBxF1rab3i2hGjEreGTcRnW5vW0XVPYSTgVGRhulhteTjyVsPKngxerzUGGSayAwCo5LOSJi+QCL75/05rnRZ2OkwQVD6EA/DoAAJMdbMTH8nuvQ42+3+WQnT3CgDBaLIVCiFmvj06f7wH4a7XlfG/tBDajwWFmw2xVrNqgcuXTKDj2eHV4uuIM3rYpAY+MnX7uzo/s6fF3nuOT2PV17RgeMbv9E8k+vXTSWMB4n38fDD5nm/+qque/KkDiZ4Uwj3Gg0rZ0PlnM1aQ6iFBV3v+nUlW0tLlpYQsfJKSu4Y0Le2TP9BzrPZtPTIn/yJ3pu3vrVf+AhxuHpV/37oIQuB4g0zHTUlV29+sxGu6Wm7d6dP6/1ZXrZZEzGSDLAYlhdf1PQA782ZM0oGLl1SL+7xx3U/58/r4Pnss2awz5616Mnb3mbGtVzW67+2ZteY+7WxoQagXFYDkDag4dmlKdHenh4PaUJID6QoTesQ/SEyRzks6RwicaQPSQ/QCAeyiPgSg4YBR5ey31iQEkjIFssS2RnMU0NqOF5IN0YrHV9IA/HsEQ2jxTaGmzExn7dnGk3GjRt6P3iX2209ZsglouRU58K4wfVn6nTSCidPGtFDm0J/AaIkpC9SfQtt0ff2dP+IYdMpumdnbb4OxhEcIe4FbY1nZvTZpn8I7whaIHQiiKhPn95/HL6LcDIwKtLJJGCjYHb2ta08CR+KmICMfOFgWQ8kAqNJJzC2k4Yu06ldefAYOAbz/5S9DMNgLXL6/yCp4Jz5LCUXnCcvYCpOw1tn0KScjvAZRAmBz6lTppzHu5ifN2Hi6dMWjkSDAHnqdHTgZiA+d85C2+Tt2U8qKEPsROh+dtbC65cuWQiduQBoEXz+vB77tWsWhjx92gzL7q5pFETUoHJ+DKhUTVy5IvLYY+bV5fNWWw3BKBZ1kHrpJZv7gRD4iRN6XjdvqoGr1/vL6Hh+1tfVKEMyKOci7Jmmk7pdNaB4VIQ7065p5ES7Xd0vxo80y8mTdi0o26LBy9KSnjf141ev6vHR3GVtTT22nR0lCKWSkhb0EyFok6uVFR10z57VZ+OFF3SOjAsXLMxM6B4RK421eI/n5vQ5S/PTPGM0Bctk9PjRkGAM6LLIe9vtKmlYX7fKg25Xnw22v76u++PeQCAhlFTuZLMmmiVsT7+DW4WVSdshKoY8kgKCDMTY3x2T5xeyKAAAIABJREFUyXhIi3AcCOy4jrRDTyMCiGTT/iqQgbSzKedIRC51lDY3Tc9Rrep1Ix3B+8AYlcv1V1A1GvbczM/r+WxsWASD+0ZUgrHlxRf1f95P3gFSlBAxrj86AtIjpEXoNEqLaioOGFtIj9EfglQZ4tR7DCcDowIjJPJatS/qVpHhRrbd1oeK+nEMfT5vJWiUJQ1668M0BHiUlLikA9sg8NrxQvY7h/T/YSkPEfMI0s8JBWKY8BR44WHh5MAZKKjIQGTFdVxd1eXOnLEQK6p5BjgM+MMPmwCRfCIlTYSYMU5EGK5f1xdwacm0CAjxOJYYdcDOZtWYUImBR5bLqVFlPoV0QKcr3sKCqdyzWSU4XKdazTQYCwvmwVQqOhjOz9v9pVMiIkDmaXj8cV02lxN54gkdNC9dssEYw37zpn5H90hEb0wPTZfDYlFFmQibzp3Tc1xf12tFF8SbN5UAFYsWNt3Z0X0/8YR+fvmyDspnzliaiFQD92Fnx8oyz57V8795U8/nTW/S4/rKV/R3o6HNopixE3IoYnoIylYpU1xeVl0HBgTRFmkqPPTdXV2HyafSXgvc67k53QbkifcSI0qom5JIykPZF6WUPJ80K0JrQ5kZynzSciL90US2hTNAGH8YyKVTqocBbLWs3Tb3hvRkWunEuzasoRGdStMIQbms9xuiyBhFqJ8oFueJF42QmrRhvW7tgBEsE7kj2kOEi7I+xhrKgFdWzPBzT4iOpBMJ0cF0ZUXkW79V///Sl5SYkg4gZUVEbHPTxnOimakuJJPR7TEm8RsdFqSI6hUiSmOoKHAyMCp4CETsBUzzRuD/Z+/dYiPbs/O+tVlFVrFYLJJVvJN9OX1OnzM3zcg6M5ZlxAFkwYDehAA2JPvBQqBANhzBzosfAgSOosCA/ZLAiI0Yiu0AFhAIiYwYI0CIHEV2LOiWGV3GM3MufU5f2bzfikWyyCKLtfOw+udvVR2SzWZf2D1nL6DR3WTVvu//Wutb3/pWr5PFSZCdRCNL5udndSNgkeiHbWycziGArAV5sfe4yOhiV0FvmeM06w044veAF2nZgriF5jvthFwPHDUwIYzh5WV/Ac38peF647ipta6v+8v47ru+8KCe1+l41vmlL4kcBkQJbJqmvkiARIyO+rVEujlJ/PdTU/69Wk1tR1zvnR13zHEYFSWgZtOPoVxW9o/zHhjw7Ua5VYSJFhY842XRmpoSnJnPu+NcWlItlXHCN29qsex05Ihog4uE1r4+DwbM/LohuMT2gDzHx3UfZmdFikQVsNUy+/N/3s/5k090jHR0UJLJ5fQZSmHUlhGqgmRYr3sQ9847rilx546y/IEBP3cGYdGaenzs9xDGfZL4c/OHf+hlHRj9lCImJvTcw43AadItgXMBlYFEGI8b1AsHHjk/sXQISoazazQ8o67V5OxxXnT7MBcj8pSA26lngzieZpG/kc/7s8c2IjmS1sTTOgd61xXaH2mHGxgQM5/SWafj5waSEIWB2CbPIcE1QRkTLplFQfAcOwtQaGWiKoEOZc/j427xt8hRYB0A5e10/HlPU82ySBJ/jicmtO7AjSFhGxz04wO943OUGhljfnjo2+L5A6kh+KlUunUwXrGdU3CWJUlyO0mSX0uS5IMkSe7x52Uf3GttRJP0Q4+PK2o+jZVrpkWABznedGpfwHhmggefxWDZx32a+QNH5sq2owHXcfxPC0Si8fDHaNisu+eYnlsERagp1uuqLQKnmamnHOhwddUXeKBkjjf2t/PzjQ21kQF3QiiLrHszXwgQDxkcFCGQTBxG+MOHivwRNIJwubamVrTdXXesy8sq3TQaDlfjhKNY1daWf//+fcHL1KaHhtxBQLCD/wCTmWfm7l1v/UP58aOPzP79v/f9fuc7nqXjrIeGNAiKReyjjwR9UgooFNxZr6+L8Mco6fV1Z/JTz4fsOTioIGl/338POoJzf/hQyBWQOe8Lvdw4wp0dv6YffOD35f33BdGzeEYJZspEAwPqPsDBTU3552jzogWSGnHs7sBhmwkFwOnhdIG8Udfc39fYZsoOzMHAwdHyR7YY235pxSRr5jlB7hmeS9T/4J0jsTjPiVCXZgAUPKfFRQWIJyenBwJxTYhJBGgCCQbvJDA3gTvBMesf7ySBGx1KBIaUTppNtdcODnrgC7rGduAAkHg0m0I9ikU/llrNv3PnjhBR0MVIHKU0NTysezozI0SDUhoOHwVTri1lIrgwBKkgSsfHHryurfnzXKv5Mdy/r8AC3sMV2EU9zf9qZv+tmf2PZvbjZvafm9kZeNTnxIh6yUYgqpxGBLyIESD0WlRTu6hFqBBnTF36osfSW964iNEnG4WH4vGQ6eOQ+RxiSJD1gKupxaHvD4zJdMD+fq/Vb2wo84RpDix+cOBZcrPpTnR6WvXqjQ3BgxDIaDekjj4768cEoSiX8+8yhnR01AMLOg+A905O/MVfX1eWdO2ayGDMPsBRoOaHoAkZ5syMWpGOj33hKBbNvvAF39+dO779b33LyY3vveefv3NH12N93bdFJwULPkHTvXt+TZB0rdfdUQLnQxobGfFrf++e/7l+XXMXKJvQnkXt95NPVKq4e9f3ceOGslyQA4hXN274/xnFPDPj13J11dGBkxPfByUQ2lE7HedZUFaKMrOFgh/rwYF/F4fLIKNq1c9ta6tb5jsK5RC8AKMTqFM339vz7W1u+nWFu0H2DgQ8MiKiYl+fatk4NTM5bTJaCJi8O7mc1Bp5T2Ob81kWOx/QOgA9492lzNdrUW8gMvv5GaUe3sv+fnEhKAcSuMDr4btRwRQNAAIFMxGVzSR6RScKZYrBQSEJXJ8orAZqwP/LZX+GefZ2dsRNuH1bvJ/paX+X/vRPRdxlHTg68neLZ+boyD9DVxDJBMPZKBXBmYgdOLRebmy89qJDg2ma/j9JkiRpmj40s19MkuR3zAOEz6cRjUYhHzLB6Lh74XaYwr122s/4/mWOzUxtPJeBnZ4lEOAawAzmRY/bQqiHMki9LudC5B9JROyfAIFFiAUN9joLCI4vintETf7paV+AP/5Y8CJZCLXO1VVtm5edNidq3IuLvvA/eCB9g4mJbinjclnQH+cDtE+5AZQARIF5AXfvesYwMyOSIu1JnY5ULtfW/OcLCx6wlMtmv/3bfn7Xr/v5gh50OpoGmKbucKem3BF873sa48zCurJi9pWv+DkzrIea/eqqjot2SrK469f9ZwTHrZYvuI2G7/PhQz834GnOGSIijvPRI7MPP5QQ0eGhH1O1qiAS4Soz3zZQfpL4MRDQkgFCPr1zR4Ed3SwIfHGPzNQRcHgohjuy0QT8cbQt+hyQIt99V+2l7IuAd3NTolIgI2SWvBuxvx/nC+oA5DwwoGCa84jBCucF4kj9ns/mcn4OUc8g6hH0vuOgJ7D0MbJxrnMk2iHABepFYBDPD+0MSi+5nD8nDx+qGwV+Ce9Kve7PL8ge5TxKNfBqIC7m874PWnoLBbUHE7iYecAZu5dyOX936D7hXjGfA4Irol+QoQmQCCjoItja8v0jwsZ6hqAW9+wK7KLBwGGSJH1m9kmSJL9gZotmNvnyDusNMFifRIW9WXck6dF2SM2wN2A4zy6azZ9mlw0EntVisMPL3Wu9/AYycSJ4svOY4VArBRqlX57hRmTwtF6ieHftmtjCzabG5AIfR6dMixN90FFnnloqAQwwMBkb/fewqO/cUb8zzGGg0zR1x31yohoqbPatLTm5w0OH1w8OVFfEeVarCnxWVwWFj466c//ylz1IWVvzLDmX06Kzv6/efdoZj440q2FkxK9nreaOF1IYdWt4Ae22X1+gUNo7CSQWF0Wso0TA4gpagu4Ewc3AgAIgApeVFV0P9v3ggZcqvvCF7vbPtTU/h50dwbJmfp0Z+LSxIYEmCJIoyH30kRZlAiaY5RBuETuifk3piiFLMzNCWjgHxJEQ0aKcAskRQmrkdYBI0QpI0kGdPJb9QL7oaklTlSt5nkEt6OhhIh/v2va2Alna9aLAEQgbyQrlPQiTBBYEKSRF/L23p555sn/KNNT3Nzc1uptSVqnU3YXE2oI419CQBwN9fe5si0U/d8p3lBFAhzodf3+KRYli7e87anjtmgiIqJEyGwH1SrgzIJ61mv97aUmoGGVY3mVaGEHJCIhIXFh/YlcBAcsV2EWDgf/KzEpm9rfN7L83s79oZj/7sg7qjTAW+dOiaDMR9vg3LzxowrPaZWH7s5AIjEXmeYOGs/ZDsHSW7e35dWECXC/Ziqwl6qwTSJA1Aw1Ssllf72ZM37unuuXAgDsUCEbMRaC9KrJ8gdQPDtzJEUDk82qdGxoy+63f0sRFFm+uJzVjYELY+PTvX7/ux/Hhh75tghDIg6jv1WpyICsrEiOi/l+vq7//7l0JFXEMnY4yKTLrTz7x7924oYUKQZ779915UU7odPy4ke6lpj86qhY66qSbm77IPnqk4IHF/8MPPdiZmREHIMLqhYKLMjUavsiXyx7YfPSRO31KEwRQ1apEpe7dk5wxTov6NY4pn5dyJiTJb33L7NvfNvviFzU8BocHWoVQ1tCQH0OjoVo73T8EEgR+yOzC/2DK5OKiAonjYz/GoSH/WaUiBUxa8ygRQOSE00ArW6yD84zz7qM8WiyKu8E7iYw05OH+fg3ZqlT8ugGvE4hDesQpsp6hj0BWTCcIBEwCUt4b1sSDA3+eOx1/DkHWcLAnJx4EIhEOSlKrqXW4Xu8uc8XWTr4D0Y/yBr+bmpLIF2Uc2oXpHLl+3c/n4UNHDpCtJulhdsaNGxKC2tvThMbNTXVGtduagQL3hcCh2fR3EmGjV2wXCgbSNP3Wk3/umfMFMltfF2Gt05F8bqwlMqyC9jYzwXNnIQNEzb3cAx7kZ+EkRIGQs+w8R/0sdlbAEUWGeo2fN5u+eEJuBMY/OPAFE+Z3JCSyEIAKMEXPTENxiOyBkJm2R4mAXu9799Q2BduZ4KC/34+LDBMVOxQDQSzItpDE3djwdr9Wyx0rgQuBAdoAlAPIapNESn2UKSAl0RqGVOrqqjuvhQVl6bQ+UUsHZt/eFjIBPP3JJ34+w8NqMcQBPn4s5z8+3r1A3bmjnvj790WWQ9Y5l/Nr+8d/7P//2tdETHz8WK2T8B5AOu7c8WuysKCAGe2Fmzd9tsSjR3486N0PDUkT/uOPNTiqr0+BysGBL8jr62JzozfBVEcQAtj/09OCeYtF/+zsrNCPqFAJWlUsukNoNv268BmCELgtlALgG/DsARNTPiPTBn2Io8QfPFB3C6RkeDFk4nTBUKqCoAgyBUTO4DA6CyBekuwQuKJiiO5JreY/p0xEtwWtdyCnEC3pVKFUhPHeQSam3Ei75cqK7jPOnZbdJPEgd3pavBN4P5QJCARZgwjoKZPQXUHphWmgJyd+TJz70pKC8nv3umcxMLAK4ueDB0oqaGFeXPRAr1LxYySgpmWx0/GR7Lmcl+lesV0oGEiS5F0z+7tmdiN+J03Tv/iSjuv1N1rAgKIi65+aEs6KKJoeUiJVFi2G9fAwnoYcnJfdn2Wx9fFZUYUXZeftN/4uttlR3iADpe+WBYqsm1os8C2LCAv87q7axiAVISRCxjQxoawIzYOhIXc6wIUovlHvjf3SOG8EXFAqoyZKvd1MXQF/+qf+u9FRDT+ibY9ukrgYIXxEVka2CRyLsiDnTmnk3XeVtQHfT076PpaWfPuzs+ryoN5M4HDtmlTTQFpGRvyYVlf9HPf3/RpWKtJQSBLP/nEQCwu+oK+uKltdXDT7N/9GkC5OZWbGj2N01M+JRffHfsy/s7AgIh0aAtxn0ADaA8tl3z+sdmBzEBOega98xT+zsOD3f2rKf760JM4ACNLYmDsf2OeHh545fuc7mqPQbssh8DwfHHhwNDenThIU7UCUKAfB1SBQB1qGZzM+rm4ZM02NRGiHnngcKgFBpyNHh0On7AQvhvsHxyEGxtTHmTpZqagMsbjo939mRjwGzo2SDm2jBJ0E0OWynxf19v19aQNAngRuh9xK4gAfYmVFnSaFgr+njEDn3HkeKBciULS5qZZClAURE4LIOTTk+wZdIRidmlIwSRmDVmJGa5upNXd8XMEAwQSB3MKC/7l9+4Usvc9qFy0T/B9m9k/N7H8xs6tpgnzdDKiISJ/Mj5sP5B1Zt9STWHQZl0pNkODiRQUD2FUFAqfZeYEJ14Fraqb6L3AmdTsge1oGQQ5oyykURPYCoeGzIAxkECxoLFg4x3hfGSLEMSKPihgR0DsdC5DV0JCP5Qic1aefuoOcm/MFNm4LXf3JSZUH9vZEUKMVKXabELhQZvj0U3d8q6uCbdttX3C++10FX7D34zAmpv4xb6G/X1LLGJoRoAEwqtNUBMtazfUBqP/evu2Og3vDYgi3hqAaFUVEma5d8z/37kkS+to1D2aGhvxaw8PAERFQoveAo+UaDw+7E+IcYmmGe7+0pGeDUcy7u0IHCLTqdb+H9+/795eX/bu3bvk1ZWAXzxcBAZkriAVEM6DrJFHp6IMP/LgIOGiJnJjwgMTMjx/UCh5IfP5wUMfHmqZJEAXPhucf8inEQa4D2h10m4yP+zUgeKjX5SS5RmTiMzPueO/dk0AV0tiNhj8vEJ9BW+t1f5+YlMnxEBhTOkoScWnoWADdq1R83wSyiH6trwspQJl0YEBDxjY2/FgmJvx55rmIomeQMiPplGA+tmyjsEpARsCC+iRtjbduvbDl9lnsosFAO03T//mlHsmbZhHi623JiX+jEAg5B7YoixQvIxA3kN8Pqj0tMDlrPgJdBSAEcDWof8ZpZjjROHIUguHAgL/YrZaIhFHFjU4CjhOCYtRAJyghAKHVkJot0qxmytQgKVJr5nmgI2F5WSUBsvODAxdKisdBUEKZYWdHECOQNZ0UlB1Q6rt2zT97545IlXfuCInAIY+O+jmtrAjmRVyHDAmnT8sdBEtKG5Qg+E657A6CtrOFBV1D1Ay3t7UIT035dVlb8+v5ve+5YNCXviQJ5rU1/85Xv9rdzQPXpNFQFwXset63UkkELvgHtKdRppqYcOf/6JFfE4ZNgb5QY0eieHhYWV7M0iHIQQpk7Vhf9+vK50AR4GjgRKenff+0toHCVKt+DsPDqpuDBKH7QPYJGZf7wTCh2C766FF3hsv15GedjrRAJiclsUswQRePmW+X9kX2RVfMxoY/76yZdBIQ4AKlU/La39cQoWJR2hzLy/6Zd96RQyaAgQCbz3d3cYCwtFqafQLCNTwsQbDlZd/H0ZHzcEAOFxfFWRoZ8e9SYkMHZH1drdEkiBsbek6Ghvw7H38sguWjR0KhzhKOesl2bjCQJMkTZRb79SRJ/paZ/Z9m9h8byNM03XqJx/Z6G4t/jPxw9AjgxLoUTF4yWxwLSmcwy80upv71eTOcKyUXCIuUYqh5jo4KxqvVRBIkw2fRiJPQEHmB0MOCRCYcAzRQAURvgP4XF30xGR31F5zvxdJHuSwHDqOcvnmz7gFCPF/37kl7YG7Oz4tFrVBQQMPxxxYxslGO5+DACXwPHyprik4dg4wGAxuNg0rFjyfWYsmCEYKJ7XDlsjsIpvtRaoCghWR1rSYZWZQXFxedU8B0w81NRxsiK5xa+tqa74uxsIjnlMtinINAFAoajBR1I/jdxoY6MCCQmim7h7yG2BBZ6+SkL+QLCyIC7u15sNVuq95PEMZwHqSv9/fdORHsguSYqQxF7Z1OBbZJOyellXpdZUdab09O/LqBHlH7J3OmbRGUJ04ijHwCxiLz/O7saJgWHRfVqt/flRXxOiDg3rih4JK5CjwLUdciSXQOlCjo8oDJj0bCzo6cLYgCa/LKit8bSjUkcBBWR0c1NIvkodn0e8g9+ZEfUXD8ve/5+3Prljpt+AM6iGOHa4E/qFT0nBNMsuaAbhKYXIE9DRn4IzNLzf6jwNDfDb9Lzexq8IzXwWANx0yXfxMlHh2p5hYnDwKBU+ft7QuO45CfVQ3w82JActQdzURM4+VjsY+fh5Xd3++LN4zwJPEXlT7nmRmRD+mPJptn25R9EKOh7ZAFgHrl2pq015GthQxF9goyBCkRsiKtS5Cv+vqkUYCT45xBPSgp4ChRWcNZ7u9rcBPOgCxwfFzOGAQGNIQMk88Da3MNKxVJI5O1Ig0cRblOTlRmoT4NRA3ci+ojwcXBgW8bR8FCvLcnfgPXkDo49WnOgYzXTJoQkOkIdtpt7yxgXDbyw7zPBCcQPmlDRQthbc1/Nz7uv3v0yI+jVFK9GedPW+j0tP9/fV1ZMQ6m3ZaCJCRCyIqgANvbvg8GQpnJwcBah6wGdE3nRqXiDnh2VuU3nuvYNQBJEyfPdQQVLZVUsoqCSNTbY/cP95/rSAstzxatjBAtKV11OhLo4d6trXnZaH5eznRpyc/xvffUaRLbv+He7O8Ljfr0U6EG7Xa3iukHH3SPQz860iht5JG55rx3lHmWl9V6i1ZIvS4eEchUmqpl9XXUGUjT9K1XdSBvnFWrcuAxIBgY0MNNJkGN97QOgpjxx1bAKMqR2WeNrJsMz0xtU4gN0dNMex4vLgsSXQe0/TFEhI4OHD+MXzJFGOuMGkUwB3geeDS+9PQWE+zBZkfqF0eG/CxBCPAyx0GtluwW3knM8uFZoBOAxkJcvGI7GNlflKI9PJSj2tz0xRInMjsrx0PZY2RE8LSZnDalFII25sXD3yA4AGoGBaGljhIIEsUsyJSFqJ2nqQc4pZI76aWl7nsNlySKWR0fC60hcIv3l+CJNjcg/Hzej40WRQK1SqU7SANpeOcdvz4LCxI/ojQIJwROEM8IDnFry4+DzoioXY9Dh3gKmZnnvlj0IIm2uajpv7urYCmKGqHDUK36/mhRpSMHEmCpJLgd2WqIdDjlyUmpX5I5I2/N88lcBzOhE8iQU3YBWVtbE0QPq39rS0TVt9/2/ZTLftzM2+D93t72+wYRFinq735XPAdGi9NOuLho9ru/K/7G+LiQg6MjRwq+/nURTgk+RkcVMB4f+31IUx0vKBk6CvgJkKErsIt2ExTN7G+Z2X9ijgj8jpn90zRNL6m9+wNgDx+enrHTv06nQEQBLmIEAxka8HSDtR3JlSiogdq02yIcpakvziyaOH3EZiD4oFUQCaDUTuknpzxAxhJ5CWTvQJxAgcwDMFPgQPaFNjy6C9TbGQlLCyOQL+gHSm/0/BOAoAaHEhsox/GxFnoCHPZPpwC12+1tf84fPpQjAubGaTFzgt58erNzORHZKFWQHSEwBeQchWK4/jGbi+20nY6CbO5fva7WxdFRESiXlzVQiY4FRHfgnGxtaV7D2ppnk3EkMAgN95V9Q/Sjk4X7USjIIXJNIK0+euSI0+KiYH50Bvr7u+v7oF5MpnzrLT+PR4/c+RYKKi/hxOfm/PpGSWaCT1QUP/1UrXq3b4s532r5NaSE0W4Luo798pubvi1GCa+sqPOBqYG07nK/2A7oAAENwS7befzYnx34Eagmrq7quAgc+/v1bDDtkvOmPREBKgIeSriUovb3he4UixIkq1RcwGt6WkRL2iUpgayu6h2/fbtbWMtMxFxKUOPjQo2QuUblsNHQusB9vwK7KIHwX5rZrpn9T0/+/1fN7FfM7K+8jIN6Iyx/xqWDiBatV5L4PAOCvsp2wDfFgD97DUeIRn7s6DDrVjSLTHZY3LQc4WQHBqSOF1XgGPrCy027ENkBcrtE/tQtzXwfN264c2Fhie1vx8ci60EaazTErjfzfY6O+kLFECZKTxFRQmin1RJCQHCEY+Z6mSl7ossCKJzzefDAF8BCwRdwM/FdKAWwCMfBQoyxpd0S3YzHj8Xv4DgIaIDLgbjNRO6jnMY4Z1ATMwVtvIvxfQIFiCOoyeLJ3peXfR+Q2A4PNVUQpxZ1RSYndS3QNaAd9dNP1QePyuDYmMR24BEB6TPzolxWibFc9uPBOdGuNzDgjoZSE4qYu7seCMFJ4XcIF+3seFBB6WN9XXLRaBEw6pdOE55vSpc4doI5nl1IhXRvoLUApwcJcpQd0baAPwG5en9fyEil4u8LWhHA8by7w8M6Tob9xNkP6A+cnIjgR+B586ZfGwidGxuOKmxsdIuLcV/MRJo9OTH7vd/z60bp4+DAuSIcX7UqwTHIlLTY0pGzvy/EZH39oivgC7WLBgPvpWn6tfD/f5skyXeed+dJkvykmf0jM8uZ2T9L0/Qf9Py+YB6IvG9mm2b202maPkiS5KaZfWhmHz/56B+kafo3n/d4nsmeBcp5WiAQFyo+mwUCT7ezBJhwIBhEnVhOwAn2TghjkcABEHBAmkNDAJKemUoVcAeAPxEdMZPzhc2NE4tCRGSFOAhGKFMfpm7OOSSJE/q4FsxEqFS0EJkpM2UBhsiKFgMlLKB3sn7+XSwq00/Tbig3XgOU44D7o2ZEqeQLabxWsU+esg+jYkFlYjAVZ9BPT4u7QJcF/AV67uEaMKGSdjtY9pw3de9227N2OgB2d5VRowVAaxjBI+/p9rY7XSB/MliIwaARED75+dGRB1foP8TjXFmReA7Q88KC0I1q1a/H5qZqzlNT/hnKN5HrMTjoju/ePf/d8rLaDEF3QCZPTqTHgMgOxLv1dfFWmk0XayJIhg0fBY9A1Kidw60oFs1+6IfUQkr//+6uBI4+/ljvLoEek0JRFSWbp5QR5d4JQgcG/N1ZWVHXTafjAcbBgcoccCjKZbVe0kIehczgHREsIYIUpYgjj4JrVqkIceC5h+y7s9PdkfGK7aJ7/ZMkSf5cmqZ/YGaWJMmPmtnvPs+OkyTJmdk/MbO/ZGaPzexbSZJ8M03TD8LHfs7MttM0fSdJkp8xs39oZj/95Hd30zT94ec5hueyF3nDMsf/co3MI9pZLYxA1zgq4En6iqmF43wg4cECpp/brLtDgXsMPEpGQJmC2jawLDAzjvDwUK1ttPsBf0eOQqwPAujnAAAgAElEQVQ50nePtHK1qrYmM+nzU/tG5wCon3OJEsRkcqAZWJzCSIZIyYxtgHqBunCMaLNT/khTv24Q7cx825OTvrAvL/ufqSll1GSqQOaURigPwDLH0aKbgHoirYk4zoMDkcm4RzwD9IkzsIe+drgCLPDDw931cfhE3HsUMDk3ghCgca43fBfaJCn5cG02NlRqiCWZvT2vVVNigmT4+LE4KrRBRj0O4POo58EsCkR+uL7b2+5g5+ZEPoWVTyDXaHjAc3Li942ppLTkVqt6piEsUqZqNDQLo9EQWZPyjpn/20zBWankyBVckVbLj5UAjSAKYizIRbWqd/OTT4Q4gZwxknhuTiJXlACWlxV4UOYtFnV9Cbj4GegEzy9BLFoJV2AX9Wg/amZ/PUmSJ0Uqu25mHyZJ8l0zS9M0/eol9v1nzezTNE3vmZklSfKrZvZTZhaDgZ8ys1988u9fM7N/nCRXRLXsNabHRePQMuf+elkccMJiEy1mEr1DluixZoJZrSaCJzAxTohFg2CATLrXCCCAwstlOVzGwMIFYNANEKOZjoHtUA8l6MAJg2iYdcOyBBlkxpAO0cRgGl+hoIAgIgUEEWaCYsnmYaubKZBJU3ERYPaTtZbLGjwFVAsZMgYbaeq/w2k2Gp6tknmS+dJeSakN9IC/IQWaibz48KEY8HBOaFVcWPB6faWi+4nsMoEBzgjuAXoTZqq/7+05bD887BA09xJNCVAiatfU0wlSIOVNT6suThvlyYmCiKMjv38TE1IZ5Bl5/NiRjzQVJI8DK5flnCEaolJJyePjj6XVQQaLwuHNm34+THZEfnl93bcDVwUHTN8+ZTXGEJNxU6IbGdE+Hj1SOyJKjHFKauzYevDArzU6BbyvTKWEKLiwoM4Ryg+5nJ8DrY5ol1BiGBhwgiHrCfwXggMzoY6825FETvcN13pgQEExKNUV2EWDgZ98CfueM7OF8P/H5kHHqZ9J07SdJMmOmdWe/O6tJEn+xMwaZvbfpGn6Oy/hGM+23pnTEMzigpzZ62NE/KfZeSUfFg8zLZZE9yzQEOeACdneWZ0gsbzBi8+0RAYOIVXLom+miXk4Cpx1DExQcosTB0EImIGAg4FghrMki4WUCfci9qATdGCQ5IBGCRIwasdkS0dHqqWTqcX7EK8NwUDMWNfWROTDWJBHRqTWCBkzbofODO4PGTrXzkyQNAI0dBbMzUnJj8x0eFj1Ztjh6P8fHiqQ4vwXFyXoBNQ/OuqfpQUxkt4oRzC7oFwWKgESwfPDIKKTEz8mHP36ugczZPZknQMDYrxT1gHViSUOSiqPH2uM7/i4d0hwztTEkfSlpXFlxf+02x7EDA1Jm4GBT9PT4gWsrfk1uH5d14EZEbTAou8/POxBHO22cBGYPYJMNYFnpeLPBvoQrZYHTGw7zhGgSyJ2xCD6lc/7vQLl2tgQqXRz07eFnDDrwe6upjESGKLLwXybfN6fMSaKXoFdVHRo97TfP6fo0GkZfm9IdNZnls3sepqmm0mSvG9m/zpJki+nadro/XCSJD9vZj9vZnYdyc4XYb03DFLZs7QCsogg5YqdJzJEDep55Ikzu7yRdZtp4TTTPPRo9P4/7eVGAY/tUuuG7BXVDIG8zZRl4Dzov8ex8Uzh/HZ2BPMTEESdC7oEyGBiuxt8BFj+ZOCQsGhbPO16MTTJrFtQhdbAaAQnXDP4EsC8OCyzbkQn1pXhZ/QaC/i1a9o/14pRwjhyCG/0yn//+7rX6OezcKepyGOgBmSe9Kojd8s7z7nHdlW6UeAJoIAHOQ3FQ9YMMmkQpoMDlQgge05OKqCF9Eit38z3Qba+taUR1wSNXLODA9/W9ev+73v3VEcnK4ZQ+MEHUpis1fx7b70lhAji3MSE7gXXgGAChc3ZWT/P7W0P9h498sAESB/EilbfKMIVu7qYS7K8LJ7B3buai4DThmzYbPrxoTHB72o1lXAYtb215cEGKBAEQJRF0bAwE1cAPhBIGgTWNPV9XIE9q+gQb1hizy869NjMroX/z5vZ0hmfeZwkSd7MRsxsK03T1J4oIaZp+kdJktw1s3fN7Nu9O0nT9JfN7JfNzL7+9a+/OPwFUhIWnflZhvAMGRsLWVy4gMuiImGvZYHAm2E4r4t8rle8ilbHXhY8zpX6NuUCM2WRlAGwOF6aDB4HzudiC2WvJDYoQTTIgmZyMufZadsw++wz3kv+hJgWlT6xOP3z4ECch9OuObLVtPrROkgJiOtDcANkn8/LQVP3jygMZEsCNe4B2hHFojtGhv3k8yrzgCQisUsJhmyW0kckpFFHHxuTMwRpiTymTkdSzkNDvk+EoOp1PyagegIKM3d61ar/TdcEZYWf+AkNnmI2A8JBjFxeWvLtTk6qrHbrlpCa+XkNmEIAC20K0JeNDWXraB4sLLiTZWgUQePERPeMC7QREO4iMOh0hG6YiftASy5KiKAusVuE9weiZl+fyJeggjduiFdC18/qqh9TrSahJoSnCARjC3S97tfl93/f7G/8jfPfp5dgFxYdeoIS3Daz4gva97fM7HaSJG+Z2aKZ/YyZ/bWez3zTzH7WzH7fzP6ymf12mqZpkiQT5kHBSZIkt54c170XdFwXs2ep65DNA3XRU8wCSnbC74D4TrMsEPjBtOjAKGmc9YwBz572+15KDQ4HixoW0eGDeMReaTN3mmReBCYEAVGo5mnvw0W7b3qD6hjs9FpvANJbooiWy7kjJMjmPHrFwCDoUe7BIRAsEZwcHmpaJB0ToDKlkhCBkRFdzyTxWjaOEzU/0AiQCAIQ+uIJHCDPoZQHyrK15Q6H1jlKGZQsIWIWCr5/tCcQI6rXRXaFnDgz49er2fRsHGIb3R5ktPE5/PBDP7f5ec/SP/7YHS0IQ73uEPrKisYTb2yoq8VMwlfA/gyFWlvz7/zoj/rxIG88OakBUwgaIdJFRwi6BnTt0CkBwkNrbhwjPTmpgIF73mr5NSBgBJ0BxSE4Rwacd2l3V2UdSijHxypp8D7SlngayvgK7KKiQ/+Fmf0d8+z9T83sz5nZ75nZT1x2x084AL9gZr9p3lr4L9I0/X6SJL9kZt9O0/SbZvbPzexXkiT51My2zAMGM7P/1Mx+KUmStpmdmNnffOVzEnqHSZDNn2a0de3tCYaLzNn4uTT97HQ4s2w+wefNznOuZz1nIArRep3wec/QaZroveQoSIHINsP6f92fTUifOHkm8EWBH0jBUZSK71FHp3PBzBd2Wj/NpF0Ak596O9culxP3gSFJwPpm4mYw8IbBScg1s35EjgMcDDoK2m13TCMjDrFvbfnvYnukmT8rOzu+1jBXY2xMkrggKWZ+ThMT3jtP1k0ghMNDWOirX/XR2R98IAcc1S+/8x3xXNLU9z02JhGeR48k54sEMEqCMzMS+iLgWVlRZk/3QoTlQb8Y2tWrlImyJeqdlB24l6C5cCuo74+MCOY/PhaaETVF6KShxZDAAkSLQBT0gbLdaeT0V2AXJRD+HTP7hnk//48nSfIFM/vvnnfnaZr+hpn9Rs/P/l7496GdImyUpum/MrN/9bz7fy5bXta/6cM+SygIBjcvP7AeNdooitPb9w7E9bovtpm9+XYa1E8NnjHOvRA+i2E0EK6zylyvyuL72G6LmxPfJ8iY8bzorkCEiRIFjiK+45QQWNRnZwWtb2+L18D2WfQ5PjLVyHmAVMbvCUrgMTCOGbXJJPG1hK6IZlOSvXQ60Mc/MeHOE5RjZ0fMeWDuVku1baYR0vKKhDaiTgRVTNxLEsn4rq25c5+bE6cBEiliQdTeb970AABSJ90utPaCpDAUi3kclDPophgb899Tppmc9O1+9JEGy8VuBa4/GgI8C8wYibodcHiSRIqECDBBIiTApNxGyYHgBTSN8+cztFb296uE9YrtosHAYZqmh0mSWJIkhTRNP0qS5L2XemSvu9HjaqbFggyi16IGfIQ9h4bOd/JEmplldll7EUqWkTR5ETsP2n+V1nveZ/EayNiincZvwLHT/sW7Gd9RNAcIKBCVMnMHEltIqfFD6ozcEEoRBGIoORLIgD6AYORyTogbHZVS4f37vq3+fqlJIj+NeuHGhpz5/fuSLj458d8xgwGn2ulocmLsBgE6v3dP8H8uJzEeujxAPghOGPyERLJZN3mVgUEIH4GMMKVxfFw6AXBvkAJut4XCzsx4IAGysLCgUtzJiSYdUkbi2kOopQWQ6w66AZJCkMPzQZsggVsUDyMAoCQMz4XtXFH3/EWDgcdJkoya2b82s/87SZJt+yzZ7/NltGGZqc2QWlqvsXAwY5vPnEe6ol4IweeK2k0yy+wH3i6KugH7n7dYo7JHyQ+5Y5ADMshOR0EFJDcgbDMNsEEHgLa0WIs20wyLyCWg02NzU6gBrHgkk9FTYB4B/AlQCVBL0JHJSWXp6CKgTZEk7pT7+/3819Y0c6LTcUdfLmu8OPoHBBNwA/7oj1R6OjlR3z+iWmT2iDlByMORmjkSMjraLfGMpDCql71S3SBcEBGZ/4GDJ9PnmBBcMpNqJ/fCTAFPudw9pyGWlkFaQAJQozQ7vSvnFdiFgoE0Tf+zJ//8xSRJ/q05q///emlH9SZY7D8/rdZ62jyC3uzqPFJVVFGLqlwIqpz23Ti5LrPMzLJn4XmN8l9swzxLBhs7r+bLmkA5AB2HOFshKjjGVksCBFACnA6iNThMslamMUblR2ZNQELtHeQDKZDxxpFAurMjvX566BlD3el4aYAWSSaH0rIXR3yjS0FNHYEtSI0MKaJcgN5B/B6qgpAtzfx419Y84OH3kDmR/wayx0nDgwEBgMsFnA8KQamXQCXOVDjL9va60Zz4WToJCEJAKVCpvAJ7Zk3dNE3/35dxIG+cETG/DIts7V6BF+Aq6m4EBtSmCBYyjkFmmV3cYvtltPgeXfad6g3cKSNQq4bxzxTC3kQCB07WTAbLe48YEXA/2SzSy2TwZOGUjvg/ZQakfEEKaMVEJAeYGzSDqYLU7tkPXQm0+6FcSScLBDuCCFo7abFLEgUROOGNDZVYkNfmnOF3INuM2BMckYjY8n8CJoI97gtBDix/AjHUM/v6POhAKTLeJyD/WDaCA9ZbrqO8wzoen4nXnECYWa+NjZ3/++fJyM5qLaRXl8EbzIjnD4tKtSpyTGaZZfZ0OysYeBlGcEAXBhk9dlq2CRoRjxOk8OSkuxUVR4vYkZmy6qhjQtcSWSoOCy5CnO0QhwmxH9jwdDGwbsWZDOvr3doYHB8DnTguttlsem0fBAbBKch3yFlTnmDdY6olypoETTj/GGgQbIG8EGRxriA1sW2UQAfNBYIfAhu2B4oADyDyQHqt9z5TljivRfYlWhYMXNZ65Yh77WnBwGnELqLD88oHvIxp2q3Oxndi21dmmWV2MTuPIPksI8ifxZ4FaYjKkRjQ/+5udxcA8DhjgFGPZEwuwQODh8hmI+KAiBHCSWbdrZdR2Ap9Cshy6PDTY9+7FkFmxOI62Ps79odexsqKmPdIU3NtcOygHKe12p62vsZBYpQP2B7rNFNKCa4Iojhn5knQ9UBgcRF9jSgrzf+vwLJg4LLG5DfsaZlFby92vPlItcIu5QUHtutVhaM1kZeX+lbMEsxe3iKWWWafJ3sd3qHz5lywZlAeJIMF9sYB7u93iyhhtEDicMmEYf/Tox+z4N5jMDudO/Usdp5eRSyrsM7G9fA0e5pTPYvw3eloHHLvPmh9BDVhbQZZuAz5r/d6XlEilwUDl7XeYOCsQIDWFjIPYKjYScCccB6oNHWojVYVIvX4nfhvUIrenu/XYRHLLLPPs72I1k6z8zNMEoCIVsY5Eu22pJXJWs10XDjxYlHrDwFEr2T6y1xTzkNKLsrdgPkPP+GshOisn0PsPM+iYNyLLi0liZddrsCyYOCydt5DAOmFFwombGSomnXPcjfzaJMHEagPcYvz7Gm68C9qQcoss8yezV7We0dffJwtEZ0YCAEZfSyDnEVQixn2m7pmDA9/9jxOs8sENa/imiBWdQV2NcWJHwSLOgO9hlgFUqZREIP+WDP1nQJn8aBRq0Ks6HntTXypM8sss7ONscNPs8u++2/qmtFofFYl80XZq7omKyuvZj89lgUDl7Xp6e7/M3M8Whz+YuYlAkg7sH2RM6XmxxATMwUVfX1qCaKn+DRjGMaLCCAyyyyzzDJ79dYrSf+KLCsTXNYg9kUW/3liJL2MUb5jJvlWmLC0xWDFoke4BAJRbz1aPBb2mfEGMssss8zeHLuiNTtDBi5rQ0Nq7TN7+g2MDF6cOqIXlAlQwzL7LKMUciCM4IuOhM1aDDPLLLPM3hy7ogFfGTJwWVtaOruNhJkCTDOLxoRDhocgJ0qfqpnUsxjhyc9oYUEAIxp6A3Qm0ON6cuKwUy8qMTjYrRUe62y5nGQ8Lxp0ZJZZZpll9sZaFgxc1jY39W9EKnDg8/PuxEEDFhbUmzo0JMfLpC8ELCIqQFsP20V9C5GLOF+dAIF2IsQvmJQ4OipUIp/XsI6NDcmRYugl9I5wNcvKDplllllmL9sy0aE3zP7CXzD7d/9O9fxm0x1tqaQxptWqsvvjY3fKrZakPWlVYRgGethmEgGBEIgGQbOpfUIs3N/370FGRDgEWVJQA7TIR0d9oMjOjkRL+L2ZAoJeVCBKlmaWWWaZZfbiLU43fIWWBQOXtZs3zd591x3j8rI76kLBHenAgDvjlRWpBTKxiznWOPf+fn2vUtE0MaYWnpzI+UeZzXLZHTPa3pWKBxPoecdhJOgcRB10AgNEkPhOJC/2SndmQUBmmWWW2cu1K5opkwUDl7Vi0Z3s4KA7c+YBkGH39fnPxsa6p1/h1CkFDA05gkB930zzu+ELICk6PS2hkRggQGREHhNNA+Q7GTpCeYFWRoKQdlta2qWS2cSEBmb0DhnJkIHMMssss5dnV1SKzYKBy9rurjtGavWVijLr9XX/WankP0eRkPJAPu/fKxZdMQvny/xrIP7hYXfEDBthhCfKhQhsMNaToSNoG1BiiA9XqaTsH64D/ITjYz9O/mZaWCQrQo68IsZrZplllllmL96yYOCyViy6gBCzuEdH3fH39fnvyOa3tvzzo6PufCcn3aE2Gj5rPEncsZZKnvmPjcmZT015oLCz438YnlEouEOenNT8a8aCFgpenmB8ZkQcGMxBoALxsK/PEYqY9UfuwsiIEIbTJoFllllmmWX2Ymxo6Ep2mwUDl7WjIwkFjYyY1Wr+bxw2csWoSW1tuQMvFhU0DA1pQtjhoZccmEUwNeWchNhZABKB02421Zr41lvqEEgSP6abN/04P/3Uvzcy4t/J5czGx/3fcBAqFd8HM8spD6CjALeAckH8d2aZZZZZZi/GrqgMmwUDlzWUACcmPEMfGhIvgFnY9bo76LExd7bHx14q2N6WYuHwsAcBBwee4dPS19dn9gd/4M680XBkgVZBvgf5kHnkDCq5ds1/Vqn4Nmdn1bFAqYFWRbL9JBH3AA6BmUiHUVOBcgj2tPHNmWWWWWaZXcwy0aE3zOgegNW/s+MZ9diYO9/jY3e8RHm5nDv04WER83C+hYJgeGYQ1OsqQUD6Y3t7e2aPHgmVKJUUDAwOOiFxcdHnkINEjI5K62B/37c9NOSBzNiYb3dz0/fTaPjn4CH09fk24DRE9cQ4/pQgiLIEyEGxeL5Uc2aZZZZZZm5xFPUrtCwYuKxtbbmjHB52Jzg2JtVB2gcpA9AiWCr5n8FBSRLD4h8a0hhSav3Hx8roGw0PEHI5jUMmsyfTp9VwedkDgUbDyw3lsu8nDkHK531bhYI7+nLZv7u46I57YsK3t78vIuLIiP8ONMFMbZKdjv+bssPLmhyWWWaZZfaDbFmZ4A2zmzddknh72x349LQ7S0SFWi13tPxBj8DMnfjBgfQITk48QMDZQhIcG/PP7+9rEmGSqEthcFCIAO2KKBwODoo/gNRxX5+Ejzod1f2bTf/O+Lg6CYaHff+tljQKdne7eQL8mzLF0ZGUDwkGKG1klllmmWX2dMuCgTfMxsYcjn/0yOF1MnjEe8j4y2Vl8/v74gdAMqTuD5t/ctK3CyrQaLiTZt4Aw4oYWJTLOXmRgAOnn6a+rZ0dDwboKlhbk6yxmTvvw0MPRHD4Zv433QYQCff2VB6JPAOCgcNDkRKxp3EJMiJiZplllplsYuJKdpsFA5e1hw/dseLwm02x/Pv6pPrXbLrDhxR4cCBhIOB2ZhMgZLS2Js2AYtE/32j4tur1bgVDs+5t4qCB5oeHPdBAvXB72wOJet2DEer+m5viLXBszC1AqRByYRyRnM/r37Hc0Wqd3oKIRDKBjdnZnIJsFkJmmWX2eTOI4K/YsmDgssYMgIEBZdetlv9uaEgzA3Z3VXdPU/9OqSS+AAOH+K6ZBhwxn4AgI593x8k+Ox3NNoCnQPthDBYGBwXVRz2BvT05YYSIcPxMSIQvgEQyQQ7qha2W5hsMDSkoioJJtCWCgBweanu0TZ5mWSCQWWaZfd4sKxO8YVat+p/dXXduh4dS/dva0kwCM/1NSx51eGYKwB5lW2gYwAcoFt2JDg52T0OkpY82v05HWT3IAGgEjnVgwEsCiBltbMiBE4AMDmquAQqEBwf+p1LxY6FMkCQKROLQpiiDzPHGbcbgJ7PMMsssM7crIlxfaTCQJMlPmtk/MrOcmf2zNE3/Qc/vC2b2L83sfTPbNLOfTtP0wZPf/ddm9nNmdmJmfztN0998hYfuQj4PHqhWjvY/OgDHx4L9gdBpIdzf9xsehxa12/55xIgg+dGVQGY9OCiHD9mQ4IG2RLPuNj9aGNneyYkHLPEYICCWSmplxKEfHSnQgGBopiCm1RLkz7hlOigYg9zpOBJBoJBZZpllltln7fNWJkiSJGdm/8TM/pKZPTazbyVJ8s00TT8IH/s5M9tO0/SdJEl+xsz+oZn9dJIkXzKznzGzL5vZrJn9VpIk76Zp+mpDKnT9qe0PDLiDhNCHk8cx059fqWg+QYTJgf+PjvR5IP7jYwUZwPyHh5pVAJGPMgEth9TmmY9Ahk/GPzjowUajoeyd7fMd2hApPRBYUPagVEHZg8CFTgkIlFyzzDLLLLPMTrcrSpauEhn4s2b2aZqm98zMkiT5VTP7KTOLwcBPmdkvPvn3r5nZP06SJHny819N07RlZveTJPn0yfZ+/xUduzt8oPtSST3+7bY7WtAACHbA/tTNKQEwThhnCeTf1+efbTZFDmQ8McOMCAxKJQUKZt3BB9tuNsVbAN4HskcXAHIfQUi7Ldljts3ffX1+7IxhZntmCnoQJIolgVzOtx01FTLLLLPMMrtSu8pgYM7MFsL/H5vZj571mTRN20mS7JhZ7cnP/6Dnu3On7SRJkp83s583M7t+/foLOXAz07RAM6EAQO29cLqfgCSMd3YE9TMFkG3G0gHZNxk2WTgIADA9EwbpGGBYEv9nCmI+r3o9mT6BQKHQHTwQJLAvRh1TloAkWSr5z/v6VFowk/Tx3p6ChTSVMBH729s7Hy2g7JAFDZlllllmL82uMhg4TYmmd8U/6zMX+a7/ME1/2cx+2czs61//+ovzKNevewugmbJ5HLyZWPeUEIaH5WwR58nlRLxDiIgJhIgD7e4KZkeamOyeyYNsE+4A30e+uF6XsBDtgpWKHydlCpj9BDSxLBE/MzTkPxsa8pZK9g1P4PBQU7doIUR98fhYpZF8XuOb63UPCiKCQBcFgQDXLgYOWethZpllltkLsasMBh6b2bXw/3kzWzrjM4+TJMmb2YiZbV3wuy/XGD6EpgDEPIYVIVU8OOiOmXp7p+M/Hx+X3C81fKSBcfK7uwoUIBXm83LskR+Qz7v0MAjB4KBvK019H4eHvr2BAWX+lB/gHGxvq9uA4IOAhf8fHztxslj0452e9mPZ2vLRyXAEuAbVqtADpiLSTsn2CwX/P0iGmW+foAE0YXBQ7ZogKgxVgp8RlRrj0KeTEwUv+/u+3Rc9XInjed4AJY6SflPtRQ6vyoK+zD5PNjt7Jbu9ymDgW2Z2O0mSt8xs0ZwQ+Nd6PvNNM/tZcy7AXzaz307TNE2S5Jtm9r8lSfI/mBMIb5vZ//fKjtxMzPxy2R31/r6cOS16sRMAQSCmEG5tyUGiSthuq+Pg5ERODqi8XBYkj14ApYNi0XkMpZK4COgNFAru4MfH3WHV65qtUK36w5ckLjw0OChHub7u5woHYHDQHXGp5OfA9MXZWXVOoJRYr5s9fuzbvXHDtwNKUav58S09id/oigC1oO1yZETjlXHoICrMgECUqa/Pt22mCZHDw1JzPD5WqWNsTBMkYwsk6EMup8lh8ChoizzP0HV4VmdOYEX3B88KASHHweyL81qPYptpr4HUvAiCEsqZ6FPEc0d18+REnBiODZXMixp8HJQt0a84TdAqs8x+EGx8/Ep2e2XBwBMOwC+Y2W+atxb+izRNv58kyS+Z2bfTNP2mmf1zM/uVJwTBLfOAwZ587n83Jxu2zey/fOWdBD/+414qYMDP0pIgfGr0tAKaaYEnsye7J0NHGwBCIsx8slkmFCJWhHohAkHLy+44dnf9O5WKIP+BAXfeOBs6HhAPIptFHhlEgdIGokKFgjtXHPBHH/l3BwZ8bHKt5t+dn3eFxq0td7zvvuvne3DgQUyp5A88Coirqwqa0tS1D1ot3xdtm2ZCNJh/QEBQqXhgQuBEQMMER+4JTrCvz8sxrZaCKLaF8+/v98/0OlVGRpt180bQUzBTiYPP0SYaVRej0RKapn7vMDpGaBslUOA7lFDga9CJwn57jbbR2DVSKGjYVpKo5RSLgQ1BK1LW8FC4jwcHGobFtSyX/ToeHWnsNiWp2I0SR3Fz3pwnP6N9l+Cac48CW73X9byg4QcBgcnsB8/iePhXaFeqM5Cm6W+Y2W/0/OzvhX8fmtlfOeO7f9/M/v5LPcDzbGJCNfr+fsl3r6oAACAASURBVHd4IAQnJ+6E6AYAHgcix1E1m1pEi0WJAUH+29tTbd9MGa2Zgo+JCd/+jRvugI+OFAgQcJDBE1DMz3vpYmPDeQ9bW75NeAuUJqpV/z8TDysV6QccHfk+19YcQahUfHhTteozEe7e9RLCD/+w2fvv++ceP/YHHX4Ai3+p5Ndqe9sX6Olp3ybjlzc3lWEyPRFp5P5+DX0yU+ZLeYaAqlLxY8KBRWcNFwHRpFxO5Y9WS4hMkvh+KGEQlJjJubVa3ftgUBXXl0CQ+Q44ukLBrwuKjTgqOCCUO6IR+JycSAiqN+AgGOWYCCZxgvyMYIOMvlDw4200pELJACr2a6Z9U8oCzTHT9RoY0PjsfN4/R/BmpnsHZ4Ux34hhoXYZj7la1QCuOKALBIn95XLdAmC91y/TvMjsdbPPYWvhm22rq+7ccCAsPCz2+/vuvItF1cbn5iQ61Gj4z8tlh9lzOf/82JgY/ZQcgNFbLYkY1WrKTI+OfHEcGlL2DRmx03EEY3pacwggH05N+WcnJnxBhvRI9p7PuyPe23MHv7urToeVFV9gv/Y1s/v3PaC4dcu/s7Xl+/jKVxQg4ChARz74QA6hUhFvgsDqj//Yr3Gx6E4diH9gQMqPe3t+/RgLnabazuio/+Ha3Ljh51KvK4seHlZpgWAJJ0enBC2dQ0MqzXQ66thg7gN8CzJcSJSQSmMZBAecz/t50JZKKYBA6eTEr5mZ2kcjSkLAwXFF5xnbRNNU95dZGXwXrgXlF7pEhof9GVtc9P3FQBENib4+Pz4CgEKhmyAKnJ/P+/PD/5GkHhhQELO7K8e+t+fHRgsqyEO9rsCF3/V2vBQKQttiNw2oTe/UTVAZxMKw0VEpi55mXN9nVYvL+A+vn8XS7Iu2ywxi+zwqEL7RhpNC7hcSXKnkP8eZttti3lNDZQG/cUMwKxAwDvP42J05g4doVUSOeHxcGgZA+LDuGw3f1u3bWjiBnylp7OwoEMGRJon/vFTyAOHkxOzePUcQeEDLZbO33/YSQatlNjNj9kM/ZPbrv+6lislJX8xHRnzbtBDmcr7tsTF1Fmxuqr3w+Nj3SYY+P++f39+X0z04MHvrLQ9s/uRPxCGIWezkpEocS0tyUnfvdo+LrlbduYActFr+Ha7j9rafL+UIJk6SxVar4hWgzlgqdXNE8nnfDuTLQkHfh4PR1yeEqNPx71NSov7OHAccHlk8raulkqB1UBbQGxCQ6Wnf3/a2kCDKC0D7IC88n/BeyOYhk8ay09iY/75W624BBSXZ29P9Hx3VeZh1n1+57L+v1/15IyiijAAKBFGXEk+hIKSD4CeSbiHmQu4kiMSiimY0kJ5e6+vzc47Xn+fXTMEX7wtBHYaIWLP5ZgYFL6q08izb6SWjXtZ5g671botAndLsZQK205z+8LCC297fwf857Rq8aGLzBS0LBi5r09P+9/6+L2KViuq7zC2AxAdUeXDgD9voqC8og4Maf8yCCYkQyLZSUba6va1abFT4KxSUWQHpEoCYqcZrpsy6r8+dwMiIf55yxsCAP7y1mrK3atVfFI45n/eMnwV0eNjsy1/2YICsbGjIHfqjR749rsHurmD90VEtujjPOCb5R37E/7+x4c6HuvPYmAcawPRkhPPzHpwsLfk5b23p+pv570E9ymX/DugMiAKLfbOpgAHSppmff6zjQ3Y0U5cDC8PgoFAhsvOoN8H1ZfEhQCBLjeJQcBoIFhF0iqUCzotFDUc0POzXhSCAbBjuh5kQGoICniN+R8mGqZq9gQ8Evzg7o1oVvB/vMSUXVDgh3EJyje2toFsnJyKSwh0plXwflCPabX9OeFbI3CH6QgLlWDkWkBA6bxDpgnhLaaxcVgkPtAcRMYS5eI9BlLg+Zt3H+SYGAmbPFgic5/B7f16p+H0z+ywJlnfITCjQRQOB6Ngj5wZjewS+lHnNtNZehKx6WvYPT4ngBYNTg4Jtr/Fuv2LLgoHL2sqK17VrNS16+byyaJxQuexOHKfD4gv7fnxcwjw4FyLVSsUdJpYkvs/+fkHgx8dyBtRzZ2e16PHgYcDRs7OqRUPO4vtHRw7Rk0EBiZZKvmgeHPjft275+ebzjg6Uy+5w6DAgm9/cdAcLs7/R8G3Van5txsd90W80tOBTQ79+3csxq6v+Wa7rzZt+3Csr7uS/+lVF1Ig6EZAVi156ODz08gQ6DDgWoOdIciwWffujo5JXZt84Eb6HY41aDCyEbKdcFuID2RDHyz2HH4DzjWJWcCZYGIHtDw/9HsSgAOfKdyO6AcJBRk3Gz3MyMiLnzu+LRTlUgs84RbO/3+97f7+XnkCYCHxpVV1d1eI3MyP+SKnkPzs48P8PDen+n5z435APmfkBmjEyosBhZETXeXtbaqA8t5wzwQDIA0gRaAclE+4BQSPEWhCUOPwL5AJOBogfpRgzXTPewefpsngTjPXsacbzFB398LCCAzP9zuzZOkk6HXU4RUQIo92btYN7QFJAN89FkYz4OdRjQZ8wSnS8C73bnjtVP++lWxYMXNbiSGLaClnse6cHFovu8CCknZz4g05WSAbIfAOiyV7CGHVmM8GfsP0LBTk4WgPJxsjEeej5HnyD3oeSDCtJ/KUkEGDxZMFEGKm/3xfTwUGzP/xDBT44HrK0Ws1frsePfX9vv+0vHIM5qJkfHmq+w+GhbwNew/a2B0TXr7sDWl2VUwFGn5pylGJuTm1vLNIs7Lu7fsyVijoLCNoIooDQKfUgoXxwIOEl0JxYk8ahxxHRU1M6RqBKMvyjIwV9+/tCO3BkIDwgS9yLCMHHEgRBAVA2mQmwPC2oKyuCTms1Bau5nN8jyjo3bmjQFMEAzxj6F0NDChiGh/1ZXlxUQHR87NfATDwJOAoEiRBWaXNtt/24zFTu4r0gOEtTtemC1vFe7e+LwEjAQ3cD36VsRGDIz7guvHPcXzhCMbAYHPRzZgAYvBruB/tidDeoEs8LzuFZBtRwbK+6xfJZ9CMIBJ72HZAU7lVsI+VZie/iad+NRtAQiaygXBhJR6fTHXTE8zTT+1upKEgGaWXtjfegVNI6YebHS/fUxoa2GZGh3iDjilCjLBi4rNVqIqxRYz089Oyk0/EFh4yjWPSFlEUBeKheV7ZFrTZCpDzUSBGjJNjf7//mAW00FAiYydEDaZKNx23youLYySRpayQDGxkRm7te9z+Nhp/HzIxKEsDD3/iGf6ZQ8IVxYkLIA33zR0di+A8NuXNvt90BFAp+7ei44LpNTfn+PvzQJ0aOjSl6N/NOikrFg4R33lHr2fy8f35pyc9pfNydIDD8jRuOFuzva0Fn32R3MPxv3pS+AmQ2YOCREUGKOzuCrwsF1fTzeb9PdA3goKtVd2QnJ15WYfEi6KAMQoYMuQ1dB5xtu+2/Rzthbs6vCdtqNPz8CTzIttttvx/vvadnDIGnalXlmqUlv0ccA0RHzhEUIknUMXLtmh/D+Lg/C2trHsARvK6tCfaPkDuliqkpIW6IdR0c+PGurKgExQJcq/nzDAoBcsF7WatJAjs+l5AbeZcjWmKm2SIRTo7IwOioVDt72yEJyHHeBP10PhA8FgoKFsxOd3S8syh/YvGzhcLLGxHeezwEppzDafs9q6XWzK8PJSe2jSPmWnHduSdHR4LST7s+vC8IwPU637gP1ty4HQK5GCQQFJDozcyoHBfvA4JmxaK+Q4KI8e/TgqRcznlPV2BZMHBZw+EjsNJs+oLFQ1YoqH7LQkxWSBbHAhF7t80EGUJOJIMnwCBiBsLq3R91VsQryFxx9mQ9wMjRKE9sbCgTo5aKCmCx6A6cTLHR0Muaz7sDBqplEW21/DtAx7WaAhOcwPr6Z7OzSJ4sl91pfvqpCH7j40Jhhob8miwsqF7Ly45oE85xaanbcRPw7O/7NdreVjkmn1cXwtSUshjKAQQGzaayF1omgaPTVORSMwVUtZr0HHCQkB75Hg4LvgQKlZR0aD8l893eVrkAXkUkOB0c+HdQu+Q+9fX5PQAZGRjwcs/0tD8PPDs7O36coE1DQx4kgGI8fOj/h9RHZwdE2Z0dLZbAtGb+PE1PCw2ApwLHAmInTjR2W2xv+zWlhMDY7vl5fyb299W5MDXl13dzU89WrO/CDSAw4BnkmeNao80wPOx/KOHRSQIyNjoqHgjlQXgqvIsEfiCFII0E+AxBY32IxprDc47s+MtADaJTq1b1b0qMpwUwccAaXTmNhl+f2DYLr4aAkDUyDniLTpyEhXkrZt0IUuwUwjFzvwieY0Dfe44RmY3Jk5lKu6fV93vJp6zzvRaDPt5PyNBXYFkwcFmjp3l42BdViCdAvGYKAPhsuay/WQiB3g8PtajzMEZRFuB9WOHUw6k3s9AQPbdavtgRJeMEL2LUYWOGg7gPL97YmG9vc1MdCNTmICMi3NNu+3cJgugYgHAHBA37ttnsJmjFBbRWE0RKfRkOAlD8+rqg3Z0d/wwOJJ93B7ez4w5uZETZOs4K50Dkj0M9PPSMwEylEzNfdFjw5uf9eCCUESDOz6tzgFkViPjE0g7XCJLa8LBKLpD8IKzmcr59xH7oCiEw2931a0L2BqJA2x6LN6TNu3f9bwZ65XIebHU60rPY2xNfZm7OtzUzowXWTEEJnR5mfh2XlqRbgKOamvL9NBrdbXw8t7xXBDmUsejcGRlxdIHz2d52VKBc9mOfn3eE6qOPtP2331Yr8M6OrhlkWu7P/r5KCqOj4vcQ0INidTq+35ER8QrgivAMj4/7Z9BD4B4w64OSC89ZRCRyOal+4pTIfHFmOFucE50vPHPP0t4Ws9povfA7RNEYGPU6VjM935xHJO2BrvaKUkUNCLgbBNIIktXr+ixGaywBeTTub6kkYjDBeq+dRVDk8/EaxYFxMeiIXACuU0QsIokXRIHA4AosCwYuazCNeREh1pGVxH7wCOWSqfJAIu/LEB8gNWqMwMHttu8visigGEgLG90G1EHJLIE2zzOycTIw4GMY7rxwkSA1MuJBAS9Wf784Ant7vgCSubGoERBRjuBakOGCbrDQ8HLRHdFoOBmQOjFZHpn/xITD/gcHco5kbnAZ0B7AeZEJViq+Ta4j2bFZdxY7MqJ2UljqOHmCpjhk6sYNsy98wds0Nzf9GMfG1CKYpgoEcdDc/6kpXwSRsEa8CsJgbBmFGIlj4f5Rx6xU/Pjo+piYkHYBrVoTE9JxQGiK86NtEbIpcPvhoQdY9++rVPbVr/r2Jiel+EjnAF0yKFrm844m8C41m378BEwEiwRlBI585uBAypv5vAiraFBQgiCIIHjEiRE0TUwoMOK9QrCIRZ2OELpIOL5WywPVkRF/H6pVP8/NTXEjILXG6Z60xLZaKqmtrck5QlAdGVEAzThyiJYESCB3IGpwSnhGKceYaT04Db7vDcr4TNSlYA2izEgnxWlONGo5EAhRgiMIhuwZCbBxvYz8DpCPYrE7M+eexVbPXiPgp1vmLOY+3K7e79JODLLHWs9zi5Hlx7IwJFQ6q2injagbZYgrsCwYuKxRS2cIEC1N1APNtECzYMBsZaHnwebFJaMBes7l1EoGohANx2Hmi9/GhljVoAE4MR7c0wyEIhpRa28QAWTNn0qlG+HgHA8O1IrYbPq1ATVh4SC7IhuAyHd05IvzwIBfX9qOGg1NOtzZEXuciY0Q88g4pqdVX223/XuTk+5UFxe1MPDiUitfX/dF+/p1//7aWreIULEoxj/kQkhz6+v+nZs3fR/9/R4IzM15kLGy4p8j06asAEw4Pq6sFRb82JiCyrU1dTykqV8DFufBQT+/4WF3zMDNxaJfr709X3xoXwT5qNU05RItjE7HM2gzv6atliDY6Wn/P6WZnZ1u6ep8XoRZjpOggdZOM79Wu7t+beDckBmDDFSrOj/aFc3k+NgfIlHj4+IwEGhw3js7ah+dnfWf5XJmn3zS3TmwtaW6L88pnBpKQzgoSgAEp/W6/g/kjdNG76FQ8GcDfgEOgm0RsMzO+vUh8IitxmSW/f1+7Tm3+EzjqCF5kqlS2onZd7st4l40ShesX6ADIC8EkRAgT0MVQAKRXx8e9uPc3FQ5kGNDcyN2FVASgC+FMwVxAAEhqIDzRFCEw6f0QGYetSFYy7HokOn0qtX8/vLsm+k5iMkS+wTBoDQG2RVuTank95d1lKBuePgzS/SrsCwYeB4j29jZkTpfJO+QvQEf8fCy2LKAklXSssTDFocGRbb4acYCTFaP4biA3XmZeMHJ1nDUsU55mgFjkdHSKUH2RDshUT8dATgASg+03VAzLJellUC9lNasgQF3bkdH7vwoD1SrIh0ODfmLRi28XPaAAgLewoJ/D4VH1B43N/24CNgo+eRy/ntq+NyLNJUj39iQVkLvYg75LEmEkLz3njuBJHF0gymP9Xr3LIr5eXE0KA/MzanOTfAAATOf93MfH/djThIFEDi+VksOi0UHx3J4KMdJQBvnVlDu4rxu3PBuA4JRAiDq7I2GugoGBvy+ggiMjJi99ZYTQet1BZfT09pPmqrLZWVFzwLH9847Inmtrkq8a2tLpENEkOCzINIFB+fgwPcJqRG0C1Iq78HOjj+rdKYQAPT3+3kRHECaJANn+9WqyGgESzHIoKRCcEI3AsEgnA4cJLoIaaq6NfM3CAx2d/XcgwzxrhL0gpJQZqjVJPLFz3Ge6JiYyUlGvQTKkqAwWLksdCKqjLLeEYhQCmu1dJ1AgUB7GNDFmPTjY6miwhUiuKAUAxGYQBT0FR4Tz1W5rIC3t5ySz/vxwWlAHt1M952gjAQBEuvWlnRocPo4ejqJCJDRusjnzb74xbPX35doWTDwPBbbttJUiz5M5UjoIToGBovwUjRIM9SyidRx6ufZWbUmIucor0owANT5LHUqEApIjmNjCopYDHFSROmVitqEEHJpNMQAp5zBooW8Ly10lB1AVVh4IBbSlXH9ujPyqReCvFCbbDT8vKen/Ti+9z0/vtlZP6aVFf95HCMda5VwRPb23IlwD4FKqTVTniDbgtk+MiLtg7k5r6PjEBgSBKwK5+Hw0LN0AoZe7giOdmJCEytv3BAawwI+OemBxre/rVLC5qYycbgJExNqT2TR6uvzY2eRpqPg00/9Wty61T0vAMIgZSGeDdrqQDdYNN9+W2Ug7ivlM8oCIyP+u/l5CQENDbnSZpqaffe7QqY4xshPoBT0+LG+WyxKGwGUgaCAwBw+CcEYZZpWywNCnkE6SHD41675fut1lbngNAA549TgKdALjx4BpQ6eEaB0ODB04VBm4llHmhodDdYjAoko9oQjm5jw44zlH5CEWP82U0bM+kYw/OCB/x40hSSD4wLF42cErHBMODfWFlCMkxMlCwSdJFskEBAHBwd1X1ijaVnE2U9O6th4PgkAY1mIchSEbcq0rH8ghRBHIVDWakJeWA8JrCYnpQQKIRxkAdTnCiwLBi5rUdWK9jCgZGBpWgnNBA2x0OF8Y/aMHgALEtk0jvJ5jNohNSmyWbLwZzVeGo6PkgdtYSxgkWTDwkpgQ5RM5hKJlM2mpHzT1F+gL33JXyAGI9ESNz7ufyhdHB7qu4ODYr/DbkcwBtllarA4YAZG5fMeHFSriu5ZWEEWIDDSrXH9uu97cVFZWpp2dyM8fOhO9K23fF8ESxwHGe7wsAcMLNxm/hlq/8DWh4d+/pOTvgii/oiuBIs+nQgELLG7hWyU6zM3J7IcaBYBTYStKUnhdCmZDAyIk0BPNxBws+nXc3JSmS6oGt0ABNf9/SqtjIz4Itvfr0y/WPTriNgVz2KrpQCPkki16s8LgkogKDyju7vKPsfGVIoaH5ezItgaHdUzgmIhImK3b/v97uvzvw8OHAmanvaSxP37crDlsoIs0DISBjJYtDi4ZxCVyZgJ+kBqQBkpJRD4AaVHQh/XHV4FzhUULq4VvOsY1xm1RoJZyh44abJyeD38HK4Kc1QGBvyZ6HSEYsXz5Du0tHJcBHugljwX1OkhVhMQDQ1J6RKhMfQ7YpBE4EKASzJHqQtCawz2WUfMtL5tb4vXFO8d5Qe6JyhvZd0Eb5hR22YB50UDPsfh84LiPKPICBbFg1Bui7UysxfHMOVYL9pZcN52IKhxvrHbINYXWcCOj/0lZ9RxPu8LMC8SffMsKGTJwIbMLIjb7+vzzGhuzr8Ls59smFrcxIRn4SsrapkjkyDgoExAlI/2AIQ57iX7Hhnx3y8v+3MwM6PgikFSEVZtNIT4AIdeuyZy3Py84F0cAQEcwQHbT1PBw5A5mcsAkXNiwrNgHC6kRurwlE0iLyIGrNwPIPk0FQ+C45ibU/BC1gSRCkd586YcE22PcD1mZ/1avf22X+/FRT+OjQ0FBPBFZmdVxrl2TeUNaq4jIyIPImGNw4EvgkOHtLe2pvtJCSlKUw8O+s8hrc3MqCQ4Pa16/eKi/5y5BZ2OBKTM9F6DKuDcKdFNTupcaFWFL0RJAodCBwpBGERX9CtAZBDpigI4BF44TpxXfKdA3ubm/HrCB2ASJGsbyQ5rEwJk3DOCBdYwsuwoOQ55mACN55H3A6VNEBO4EAQD8FggG+LMCYh6hbcoB9ClUq8LBYF8ibYI7yFdSKAgoDxRep3nykwlLtYnEhcQQ44LngvlC9aZVy0k9cSyYOCyhpIdzhDoisj0NOdNOeE0RwzMBlxFu0p8+F8ni0EA2QIOiwWO8ggvgpleOKBweqyB2kZHBa2T5bC4Npu+aE5NOdTKdTw48AUojsal7g6RiNrl5KRaFIHrUQAECqc2Czsf2JXFj9Y/HFqpJPQBaJO6MKxyasI4gMVFLeRkwzw3ZKSNRje5CjSDzBvnC3LCdQRCxhFG9Tbq8rHjgXvSbruTJWB97z05l709v7aUFObnVao5PlaNvlTyTB1iHDMgmk2pSFJCAikBxqWkQaYE2QySZJzTQZmmWBSUPj4uomO5rBoyXSaUYphDAKGN/dCxMzkpFUzqyWgMzMx4SWRpSQkAaAjXm+AOFGdrS+2m1NbpBOI5Hx8Xv+DxYz0XdFKgDZGmEryp1dQhgEgU944gmjWHYIeghqCd95Tj4Z1ApbJY9D8PH6pffnzcPwfMjXOlwwqEoVz2a7m87MfBu8QaZ6aEgHLG2lp3kEMnFUEKHRk4VjgRlBJ4JlhfDg/9+g4PS2WU7g8CGgJV9gfPBdgf1IlsnqCGoH501BHBO3cUxFCiINgigCZZpHQLARPkDyTxCiwLBi5rvGBA+dSYz4PcCR7OcuxkdGaCtYh+XzeLsCEPMoxjugiAGMkeWCzI3mFv043AYtxq+QLC9QRaJFNguuHJiS+cZE5p6pk/hLtmU5kNsO7OjhzD48eC54EkYXvfvdstLIRzb7X8OzDto945WQeO3UzCT3yvWFS9G6cDWkM7XH+/kBMWOmB4WhIpjVBjrNWcJLm6KvLgJ5/IWbNAAYlPTsrhjo359WLRJNAiqwRB2NvzazM2Jke5uirth6Mjd1QQqICQycLpDkhTdTCQuZEdgX4cHHjAtLnp5zgzI22LYtHv8+amBxM7O/7vgQHV6XGitJ/Cp4BUBlTe6Uikinf69m13NlFEChJcX5/fe+473Smx1Q+EAdXPqJdACaRScV7H4mK3SNDAgL8DGxsaCEVrMpwhBmmhH7G0JKSKQWBmCkYhwTFzhK6RjQ09c7RmEvygIFku692AY8G1YDoqwQQBBd05yH0j2Y5MOIqMICzU3fk5ImK0Lnc6fn8hV7IfuqRYJ2K9nzUTbgbPMUlWsej3DglpAmFmqQwOesDLc0VpEWQEBI/nF0I4zxiKoZQreIY6Hc0SiZ1MoMjcxyuwLBi4rNHKZnaxzB3nxcN4muEUgIWB154X0n8ZxrnHKDYKopgJVsfZs5iQjQF17u35wkC0TBkBYtTEhBaZ2DvPiwSz+fjY+QRDQyoLdDrOPr91y7fx0UdSwJufl8QupE2CGJjrU1P+s08+EWKQpv5d5INZwLe2/M/Nm+qqYKDU6qr/nAxjbk6s83LZj2Nw0BckCFYgAmNj7pjX1gSH43BpFURnYnVVWSTkOJ49rgljqHd2/DtjYwpagFzhYDx44OeE/HC57E4MwihQOhl4paLafRQJKhTkqFHmm5hwRwxXBNLo8bGGtTx44J+9dUswNotvpaI2x6UlZW4ETfAUCLIp8RB4UrZCzZAgbmrKn0cIoteuqaYLokA5ALIkaBaoB33zcGjokUdiu9121jidJASDSHkTTIAY4MBB20C3lpd1XeCv8JyaqfuG1jyCFlofyaCppUOMBN7n2jWbUssEcaMU1t/v/yaLp60Z1I0ADu4GrHvq+ZAzQdQI9vb2VBY003ESJKepP+/r691kRIL4eL+YDovwVn+/P3+0AUKgjURv0LX4TENURrujr0+S2lHoKSJUu7vSJQC147lEqIprHkucr9iyYOCyxgLIIvE0u6hjJ0PgxaGu97pZXJTN5KiB+KJBHootgzz81OXgMcDEBm6sVtXPjOQshLzBQWUeBE98Z2TEHU1/vy/uQK4smNvbkhpmeA0oBzAvvBCyVRZkjh1J5TR1R7+1pewSUtjYmC8WZGzUgqen/fP1erdTNFNmAcTMQgnCAfsdWBd+BVPW0tQdGO1a3Je5Oe1/bMz3u7kpuDQqMNJBcfu2HxvIAnVy7jc1VTIoMw1/4nNbW+7MySaB/ulKYbu0nzUaCgi537HPHFluWvdi187+vrp6Dg7cWVLGw7mRgR0c+LGNjUnoK2oD7O2ps4SuimpV9fVKxe8txL5Cwe8NWShtbYgoxfZK0J1btxxe3tiQ80IjAU4EQSpwPOgTiQOJSHRwtAZSjoGQ225Lq6JcFtrCs09CQk17clKQOiqAvH+se6AIECfhulBHRxfgo4/8GGifjWI8sXOE49ndFRpg5teBQD+SWEEIIOxxHVl36FCBoBp5E6AarGHwu3ivKX2CEEYdDAKPoyOV0CgZttvqKOCdYhuU1ILW6AAAIABJREFUA9NUXUFHRx7UcNxXYFkw8DyGI7wIuS9CtedZFOY5i1/wuhiLBgQkXo5okTRJkEC2gWY8LUWxrYgsBbIbL1C7rewXp/rggVS8IE/FFk7mQxSLvpix6LH4k+WTZe/tqc5MnX1wsFvzfnPTF0qQieFhDdWJPcx0mpD1QTZqtdxhr605VAxxCqcM7Mi8BjoObt9W2xR96bQVDg2JoU/AxfVmm8gpR/gSqVsyJLJz6rz7+7rekMMmJ8UlQNQH9AIECLGjSkU1aNj9OCw6Wlotv5erq3oW5ub8GsEZYKCVmZ8vCqCFgv+/UPAuDWSj6TwAdWKuRaOhKZvA4JQNqlW/j82mujngiHQ63XMfcA6Ut3Z3VW5AdAvov7/f79vRkW+Td3xoSJoTd+7IuYD+4HAhGPP8sh8QB5wnKohkshAWIbXhcMlyqe+zzd53mwACfsijRxJrQkKX0g/EUfrnQTJYH0CW6KI5PPR7CjeIzoNczu/fw4d+XW7f7obo4WMQ/JMQ0FKKU4/E5cFBlbNwuJA6KT/GLjCuO0kMxwcHiSCCdtM0FeJFSYHrx3VFZTDqPfQiCDs7ft5XYFkw8DwWGaNkhGd97lkde2wBel0tthfS391rMGPjuUcms5nq6Fy/CHuayUEWCv5yxZa4iQkpCo6OumMvFv1nzFDgGHGAKDWaKdsiUDg60nnMzyvQgKCIQArjkwki4EuQWcb6Z6nkBEIzP3ag6bExh4p/53e0iG1v+0K4vS0nDOOalqb9fQUPBElkphDJ0HcgM6R+SY0Y1jIZ5uhot6Y/5QyyUCBdSJLT035sk5Ni7+Pgj47852RZwNxmviAjC80iTQZJyxis+uNjn5i4vy9k5cEDP8/xcTkOM2VdOMb4TKH+xwhtMkWOrb/fF3Sy2ZUVv/445TRVsEKXwsSEBJree8///r3f8+dwYkJBDg4cfQyg+b4+d4QDA+4c63UhUpQrKK9BBqQNFeibNkqCukZDgQmMfHgsSeLHBWEX9j3PPsFqLqegotlU+erWLX8+gLIhKcKW39nRFNYk8f/DByqVlCXTrVOr+bFyX3kfY0mwv1/ES4IzyklmEoSK5QrKHIhz0cZYrQoBSBK1fFKygABKAA1JFzQRdAYCMMgPMue0F3c6/q5vbSlg4VoxLIv18OZNTYFFf4My3BXYa+xp3gAjqiQqpH4agwIibhbui273afyC18FiMHBWBwXRe2+gBLuWKJveWxZerhsLI4I0fM9MpLSZGa/pw7QmY2WkMYsnGTUoAY4D/XhgchzeyYkv2LDNazXPGlsth84fPJCTYdof7Yo4ou1tX+CYrgjLnd7qXE6Z6NaWbxfSGISkKNByeOiONoo4DQ+L8Xzzppws148aJvoDlUr3GGcQBRY4nAkMcWBXyHcQnjodqfEB/1erYumbdf8ekSRKQbGLhL762JZrps/R2ojDRsRmZUUCR5BFgV5pVyMwQ9zo8FAlHVAoShB8JxJ4m02/1qhbttvdLbAEJQzAIoBCwhYZ6UiYjWOkuQcEKsD9uZwTWUG80HtYWpITZKQzXIBmU0gTHQeUFng2EJo6PJRjQ80SYRxY/5RpON7YDsz7yxwMHCwEOJAbOCi9bXR0Bdy/r3sBolGpeJAEb4NyyeamujTgQiSJb395WXwGOkm4X5TPWKNHR3W8lDzpckL7gfeeBIPZEKxBkQdlpmAv7oeELrZZMvdgdlbXP3ZKTE+/gMX52S0LBi5rzaY/eGQ6QHYMyKGeDrOXqPQixgP+OpcIzNQZQRbUa0TmEPyi4fxZkMjsIJPRxsfCZNat6Y1TAgLG6QHRsgABx4K0QPZj4YS3QMROlg1ywYTAUqmb7LO8rF7pctmDAerPAwP+e4h9iBGxwBKEUNNFPndjw2Fszq1e98UQ/XaEUmilazQE6a+uqg6/vq5afq3m1xOBJpAGCI6xXx1YnYWP1jUG+9RqatHkepHhE1xNT7szajR0LajnR4lqWqrMxNcYHlbGT/sb/frb293oDYEfUuDcW5wwGV+n47A8+6C7gOvDkC0cIZAx4kSIUtH2Bvqzu+vHOzvrsO79+2q3JKvtdNSd8r3vKZiBp0FJgHIj94csuFLxbbMtIHIcJ6Q3eBF8H1SM8trkZPe7B/JFSQzuAegeCqEYUDtdCch1I58Lx+fRI9/G1JT4Tgx/gthI+YoOgvFxD27YPtfl2jW/vyB3UUCKeSuUsvb3/T7yLPCOk92DsvAcwvOidAFaQ7CC845rDUHQxoYcPduuVBTs8z6CDvIsEPSxZqBNQWCBfsb+vl/HK7AsGLiskb2bqY4E3EnGg0MjQryIUc+C5fs6G0QbFt9eI6jp7Xfmu5BxcLyxPziWF2Dd41DoZ+/v1zyCa9c8SzQTtDs25v/f3hacR4cB7G+cHy1YMZhIEnUAbG7654D7Dw/Nvv99BYRkMaurylpx4pCXdnaUyVJ3ZgGCfwBvYnbWkQcWFISZCG7IfPN5OYPIB0CVkK4MFsdczv/f6zxZGDsdZT8gHjEwpRaLzDMCOhGVgUeRy4kMSKkDR7a/361wyCLNs8TgJ1ryyNyqVb+OW1tCAGjVol0RFn+r5c5oelr39uREUC9ET5wiehWU/+hMmJ72+/sf/oNY6Xt7ug6tljujr3/dr/fqqu9reVkSw7QIE4CQbeO4OBaIjgSDOGrIj1tbCr6Quo2qechdHx/7cdMVUippv2TKkGL7+zWzgWs4MeGEP+r9oEQIU0Ggi9k0CQ9lHFAWykIEkVwLdBG4ZwSj8BsKBecLPHjg1xREgi4RlP1YKzi+UsnvA4TZVkuDoaanfXoo1wKj9AjCgpYGwRlBXuS7ML4aTszoqDtyglOEw0ZHfb+MCGcdPDqSFgdr3cCAOmlesWXBwGWNaBIiD9Ejfd8wjGlpuqgBr77uqIBZd43/NKOMwud6eRWxtYkXk8ia4CK24ZBVkCkBu4Eg0BpEyw6QHFk1dVVYxsDBLNLAus2mO/bjY3cC1MPJJjodSdseHrrjLhZ9IQBahXhG7Z86PiqEN2+KaY02A/B5ZOn/mT/TPbxlc9M/T287sC6dFWZy+iAghYIIf8PDfj50NuRyvi8cDzK8sYOBBRdiFs6JZxuSHPtCjIXMnN57MjczicNMT/v9azQE7cIv4D6DGtCGNjvrcwju3vXPE/ggDxxnYED6omzCBD/4HDMz/rt798SwJ1CE5U2wOjTkP7t7V6gHzgY4+ZNPFPhwDuvrIrsC78f3O0pMP37sn61WHW0gE5+f9+9DfKtUhKShzUGmPjysgI8SULMpsidlO/rkaScFoqZDA/Ss3e7mKMT3DUIcDpABYpBnl5b887Dqd3bUvUIAMz/vx1Wr+fUgAB0cNHv/fT//5WWhCxAex8b8/n3jG46gPHokhBHy5DvvSOoYYmI+7/ebe7u3J24EgRjXCfIx7+rMjAJ8MwUokETHxyWFTlDNGsm/CQSROefa8my/++4zLcMvyrJg4LIW62r0FpupB5Z69rMGAme1572ORjR9WjBwGmkSFj+G4iCZE9uJrT0oF5KFUtemjksJgswQ8hLZ0cyMWu9oE8Qx1OvutGk/YgIiDhZIkoEoZOYMcgEKROv8C19Q7ZzsKZaLyCqoz0bZUs6bIAZC0q1bmmtA7Rz4fHRUNWPKD2TuSaL6euyCiD3a1P0RF4JhH0VTosgPUCfZGdcCUSJqp/AguAZcezO/ZzDMJye7CVUQHdfXBT9TZoKLgIANbZWDg9oGv4e1zjwJzrfdVptolIOt1/1Yjo6kyAiqQ1vd8rJUJufnfX/Ih6N4CdyNIBFqnGYKxMgkuYfo4X/xi358m5tyXpRd0Lu4ft1/v7Kilr/1dbWUTk/7NdvbcxIassr02RPgQYzks3TcTE56QDU25udLmQikKSrrxS6CrS3B8DjO9XU90zznMzNCZZhq2W77M7ywIGIx15ZA9P33fcolcy7W1uSsb93SaOFr17pF20AaQTCKRa3V+/t+jAQk6ELEdYqSJd0EQP7cO/gQlGRieaqvr3uWRGzFPDnx+1mp+HcoPeJTMp2BN9BiD2nvz1mAgIPPUx40E0yHM3pT7KxgAJidTNKsG5aL32fR5SWAhc42mHzHdeF6A6lPTysbjepqkYTJIoWACHU60BycbL3unyfDhWFN1oAgCfAm/x8YMPvKV6R/ANOZSXVkp6j3UWYioAIqpy7+4Yd+XjCLYcCbCb2Aq0HLItyH2D1AgEHQxKLEIgURK7LDGWhEUMYf1Az7+tS+ScCAOp+ZOh9gZkPGi6I2kEKxXM73m8+7c+GY+B3bgOCZy7lT6OtTcEbgxTVl8TZTEIQDBj2p1SSOFDM3sn4Y9WSOZgoWSyXPMLnGOztCsNBd4FkmQcDxApPn89K74LmMZTVaduM9nJzUswlqAadld9f3ee2aQ+tkulzvYlFES1QxKaGRnW5s6PhpJYXvAXmTQANHbKZnYmVFWTL3rFAw+7Ef83uL1kC1qkAMGWdKdiQHzKiAkwK5kuwa1KPT8ZICgdbysrJvuDGUKeDHHBz49mlVjB0g4+MiptItYeY/Q2SI9l7QiCgcNDqqNT2f92vAM0LyQ+cSyEAu59fuwYMzl9uXaVkw8DzGje51chAJ///2zj24suwq79+S1FK31JJaavVzet5+ggsbM5iEhJTj8YM4gEkFV5GAMwQ7LqBCJVAm2MUfBDDExEmgQiWhJgbjECBgQ2LjUDjjiV1xKBdhAgO28WPG8+rp6enu6VZ3q9Xv1s4f+/yyl06fc3Wllu6VrtZXpZJ07z3nnrPPOXutvda3vlV/nTrTOraqIyAtV0oETABM5j5N0ARERiAZsmr1ZWE+qgBZCnEYHlhSNr6mn+MjRcHECpGHMDkMcEL0hISPH8/HggH33IepqfzQY1hJESHwA0mIlAbEPNjWZ88WQ0sEBIMMWZHx4RwwYKzKqAM/cKCMD+F/JiyMC+8TjWBFQ+kbLHmcBaoZmIwXFvJx7NuX9wM3BiMMG5xVE9eb8DGEOS/8A/if88OhYWWGEcKRMCuyzoSrkXdGVIdryLVl5U+InVI4wuHT03k/6NdTv/7003kftIWemiohZIiqt9+e7xUMxPnz5dpNTBTDfuedpZKD1t3wYnyqhtr+L30pH/NTTxUnAi6AVAwoq0ocUDgNcGv27i2qiU8/XdJQRGmIeh07Vlb199yTz4WwPc7OPffkzyHKdPBgHnNSCOhO4LgRPcPZwBByn/s+DcgPw9THcE5NFUEjjDT8D1I2U1P5fYw19xnOG8z96en8fOLcIm7FvlH2ZOXO8XAP8uwRrdy/v6ifnj9fZJ2Rmqa1NffYiRMlUgYXiMifr9zoMcIZWCsQqPAhSDxA3/gCUgorU7xI4FMDW80RkAqD3/MBkGllpbWSM4Dx8gQzygEJDeIoEEkgP82ExtjB9qakizDl8HDpUMYqnJUbBoPrhXODYeOz5E9xCqSyYrl8uWi1M/kdPJhfP3Eir7QmJ/ODTp53ZqasujAesPNhk6Puhl7BuXOl1IwwNWIq3H+sRunmyJixciSMzmqb8WclRckW4XdY21L+rsOHyz2OM8XkXieISmVbVsOUjnngFPEdEApx9NgXfA+/IqamHh4EBo50G3lm+AOI7pA+OXCgCP4cPpy/iwgPdfgYOjTrWeFOTGRHgMiSd+S8zDVh9NnZwiOh1I+5gnudenoUItFBGB/Phof0C702UNXkPvEKjtyvVMRIpf32wkK51ghu0TNgdjaf57PPlnuE+v97783Hi5OELgX3Agx8xLhwDs6eLRUEzz6bjTaVCz6CirQ3kYUnnih8ESSoUQGEWIiA0vx8SbNQKTM+nsea8l0WBfAp7rkn/3/0aHEC6EI5NlaqNljgUDKJSBDzOhUYR46UOYd5gP4ZOBFEfBAzO3kyn9P0dN/4Yn1JTJvZrJk9ZGaPVb9nWj73QPWZx8zsAff6p83sy2b2aPWzv2n7DQWenS+J87lhWNpMWkwmXuULAtxWdQSkstq8cqUYe58iAJ4k2LQPVr9eCc2srHCk5ZLHlFgx+bMfnAipRGJIJ+DJe/YxBh9hElYqrA5ZgTBhkf8kFE6PAMiJo6Ml782kescdeV9EKwjb8je5Wxjju3fnbWZn8wRCGNvXm2PAEUEisnDjRiEuEXomR4vgEOHWgwdLbb0nXjJZnT5d0hOsHFmFYWRxQNBloOwM5xAD5KMSdS4JILIAU51oi/8s58SELpXPnDpVVn6w0nH2mIQnJ0vK6bbblofQuc/uuquoBJKumJoq7HXuT7oFjo4Wo2SWfxM+ZlV+6FBh0uN4oeiIEYYPA8OcMj0qQRib/ftLeorSNFJWhw8Xx4I8ORUZZ85kwzozk/dJAyeiEWgb0GMCvseFC6XToI9cofZ54EAWXqIB2L59OQJy221l/6hPwqeAkU90C1VSGPYvfWl5djkOrhstrUdGiiMyN1eIwOPjpbHWjRtFxXJ4ON/zpLxg7w8NZaIwK3wI4KdOlRTg3Fz+zKFDpZcKzifKk/5aEGWj6gBC68GDRT2TkmJSkKQS+sQZ6BdL7d2SHk4pvVjSw9X/y2Bms5J+UtI3SXqNpJ+sOQ3fk1J6VfVzshcHvQyQrGDlIk4i3Sw8JBVjhCHhB0b9VgVhuGvXisH0KQLQyRmQimFGypSHChKPVPQCIIFJy0uRvDPg0wxSUf+ixt2Xy+EcwAgmJ0oIkvwi+gc4caws/TFw3qzUR0bK5Mvq+cCB4hh60ht9D1ghEHJlXEdHi+gRtfEYRMh9TEqscL0OgzeyTKwYUaoBIEYiN0vNP/lmTxIktO/lonkGSGlwf+C0QRJruhfYhooNqhE8uGakXXAMMdY3buSVmb8/iCD56hcaPuHgodHAd5uVcP7u3cvJaefO5W1IY3DN5+ayQeH8MOTj43l78sheSRJn7vjxwr1gRU0ay8sl8/dzz2XnktQLcxHdJHHG6CA6M1NKPXGIvIQ2xhPHAJY9USZC9ITa4WDcfns2bvfcU5ydvXuzI/CN31hIfDxzpGnuuadIaCMLTZ5+5868PSk4HFBEung2iNrA/8D5YcyvX8/XkAoMorNUXNDnAycCYq9XzvRlnYyDby4FD4V7b3Q0RxjOnClaHaQRDxzI5/11X5fvEyLG8DwgHrdVZ20w+pUmeIuk11Z/f0jSpyX9eO0zb5L0UErpjCSZ2UOSvlXSb/XmEFeAN3YYA6kQr5qA0+A14ze7ymA3YHVFTa5088pvJWeAEkNKAVkBnz6dJx9Ecig9I7c/NJS3oebXh/UJj7P6JZzOqonIBcaRa+oNESVUZ84UYhVEKi9UxD7w8ln54RwdOpQnJlZeaKDPz5eVtLScr3D2bMl9EgkhhAqJ7sSJPGkx4SKZ7LUqiKBwrPxPOsRLX3MeTHSkwOoOFEbq/Pk8mREB84ac8fWOnteA9/cIxtpXh7Ca9GkgIhKQ0kg5EFrH+cBpgbBHqsJr0bMKxBGbmyvHcONGDt0yPhhoP66EtbnulNVduJDvk8OHS/oH52V6On9+fr7I7H71qzls/spXFra7FwTiHNBhOHq0NHQidD46mu8XUlSQPBG9ApOTxeicOZO337evVGkgVIVzj8PA/YGzjG7AoUPlWhO1I/RNKgq+DSWJhw/nY37yyRLJooSSe4tUSD36NTGRIzf+fsFReOGFkkIi0nP5ck5nLC6WXDzpXe4D7uO5ueJE40CiwEjqibJbIhB795aoEOkhNBlmZ7PRP3GicE3QFSFSs2NHfs+LlyG33GP0yxk4kFI6LkkppeMtYf7bJB11/z9bvQY+aGY3JP2upPem1MnSbDCYDJgYOgHNdB7yQQH5MYxBnSjJ5NkGSExM8j6vx2qZVRGhdak4VxgjJk0mIqkQiAit+8iFTyPwneSY4RQw+Z05Ux50GOCAkDatfrkdGRdEjTCKTJiwzGmBygoeJ8DnqjHsrKBQxCNvDu+BcYYJjnH15ZvsC6NB+J6xgSdA9QXCWowxKyNKqiiRY/UKU947CaQNMMBeg4LUEvcA50tEgTJNjl0q/ApSLhDCWLlxbbkPvGwvzhjHdPx4SSng/KAqNz9fqkqef76E8Gkm5FMXlNlRJXDoUOlcyWs4dqSRcF684h2d71iRHjtWctWHDuWVMyt0hJWuXMn3/m23FaNz/PjyVBsrZqI9GF3GH6Lq9euZtHjwYCl35X6ggdfBgyUdSp+KiYkiQITRQx/hwoU8NmfOlJQCMu6Q+C5cyPthHHEW5uZy6oGSQ6puFhbKPcN1hxtz9WpRQCREn1JW+USFkHuaxcW+feXaTk6WrpQjI3lVf+ZMeeaJgOzdm19fWMjHTlRxbi5fe+67PXtKmmlhoRBFiabwHAwagdDMPimpSWT5J7rdRcNrGPzvSSkdM7NJZWfgbZL+U8txvFPSOyXpjjvu6PKr14B6WLwNZmVFOWjgIW0C4elOYPVPiJMwP3KohEM9a55QJpMxRtU3TYK/gGHwx1g3GIS+2R7jTP6X+mZPBPUra0Ld3vHBeSFKcOxYnkS84BF66JAoMWb1SWJmpjhcUmlYxA8qjRCqmGwJ+0PU8qt8avgx5ig0IrJEhICVFnlc0imsZGGP4wh5DoF38shjk3OXSqoBbQHGlnNgZS2VMcb5JsrD6rLejwCCKMxtuD04eaRWUOYj/H/bbaVaA6lpVopLS3niZ/WIoYcEuGdPPh66KbL6w+hMTubXXnghX/e7787/HzxYdC/gq3C/4dBx7qRopFJueONG/hvhoK98pUQ+kG/2pZNwX44eLamjhYVy7eoRudtvL70tkD9mbO+8M48Tkuzsh0ZMHO/CQuYunDhRHEacOi/oQ2UO9wzOw4kT+RrhUOC4U1IMQZQ0GSWUXGecZ/L1p06V52xhoUTmRkZyFIJKD4iZpAvPns33BJGTEydyhOeOO5ZHSl7xiuxYweVgXoGgeOedeVzpg7IabZp1xIY5Ayml17e9Z2YnzOxQFRU4JKkp5/+sSipBko4opxOUUjpW/V4ws99U5hQ0OgMppQclPShJ9913X/+iB9sdK6UJpBIu92WE8BFYbWM8UiphbsrGWIkMDRUmOjoIhJ/r/Ayfy5aK4adigLJP8tPU6fN5VlE4EV49EaPGJMdqEzldQoMXL+aJOqU8mUxM5P9RwkM9kZAw503UwUucEl2A04KBYEKvR2gYUyYq9kGagIoOegaQ88Voex12jLQXNuK6eJ0IojsYEY6jXorKZ31JIvcRjgGhZCkfFwRRUgnAK1Uibc0KH7VE8vjDw5l3AHflwIFCCCP0Tye/Y8eK3DOdHDE8VBdAjEUr/+LFkkuXslE7cCAbAyI1qBTirDz/fAnBP/dcidCQLiIaQQpgdDQbqiNHCn/hwIH8faRdKLWkVA/HjrHYuTM7Fk8/XZ4BOBF08uP+GBvL54E8M/wXiHOXL+fvv3GjqD1CJkRYyef0cQC/9muzgccpoHIHvgvPyVNP5X2zEkckzHOY4IUMD+d9QgCG2HjXXflcd+8uyoVwGJ54Io/B7t35eCGrIriF9Dd6BcgTIx8N9+jkyTxGHCfzyzPP5HNuKz/vAfqVJviYpAckva/6/dGGz3xC0s850uAbJb3HzEYk7UkpvWBmOyR9m6RP9uCYA7cCX15YJ1cCnAGvykfontAqRgDDRTiSMKaX/4T4I5UIQ/37yeF7chmrTYwVqmO7d5fyKB5Yz46vV0L4dAQrAVq5+g5ni4ulmx/CQ6Q/PDmO/Y6NlRUe0QjGglAkhp8Wz0RV+E1Y2Ofn4V5QuYAjQ46fiAJGDAOLo+Wvlz/WJoIs22Aw+a4m4BB6sh6llVxDwLlh7EgtTU2VceKcYcpfv17kpX3t+gsv5N/k8eGuUOZH06fh4dKXgRD6M8+UVSqOllexRKuASg3C65D0iPhQaXDsWEkfsCrGWbh+PfMOOE4IbWb5/Xvvzex8+jVgWEnhUKkAv4F902eC9AS5fFJ2e/fmbZ9+uugosB2kPZw+eD6E8r2s90teklfVRJ3m5goP5UUvKmqiGGJSX0QFzAqJkE6l9O1IKb937735uCYmsiHnucfJP3as8Ca4FqQ7OJ7jx/MK/t57s3MwP5+v8fPPl/QJFQhTU9n5WVgoSoRDQ3lfpD19Wo1o0ctetu3kiN8n6XfM7O2SnpH0Vkkys/sk/UBK6R0ppTNm9jOS/qTa5qer1yYkfaJyBIaVHYH/2PtTCKwK3th28nw9253/fQifh4cQ3NJSCfNjqNApwOBJJa9ZJ675Y+P4vG6CL4tiovPcEL4DISSpTIreGYB/QDOcY8eKNCt8BjTm6YgJEWr37jyxEhEwKytYKihQG/QSwEQqCDXj4OBs4GRB+GMcyPFLJcJAe2aMLGVgUjEQGNi6s9fm/Pmyt04VNYSJWdFjlIgW+fsJcidpAJoKEe3A+SCtwfUlbA4JlWvMKhvnA2U9Uo5Eu3xJGCtndCmISCG8g+NBqoZrx6oVY7e0VIiJCCVNThaxLa4TTXcooTt5sshUS4WXAPmVMSJaRUkb/TFYfc/MlPTXkSOlWoRUHtwQyljJjZuVZ41oC048kQgiJMg7E4VCu4AoQp3/g+oivSrI4aMOeued2Sh/+culFwUVBzi7UimJHBsr8wipClK5Znl/tFGmFfnOnfmYSS195Sul/wj36uXLuU8FZZMsACg1pX+BVPguRG+2U2QgpXRa0v0Nrz8i6R3u/1+V9Ku1zyxK+oaNPsbAOsNHBlb6XN0Ye6PHQ4Uhw6jBDmcy95r4rIJYFXYS9fBEKkKRhNIxPtTl44jUDT5hUtjR5KgJm7NamZ/PkyHnuH9//m7CxYSAfXSAVS36FHwvDgtjzHeSIsGJkkpqwr9PZAHCGvlWxI+Y6HAGPKmQ1AN525VItMCnC1YSWsGI+fJNJuP69+3cWcrQyHmjAYFRJsyOc+r3haQzRpr7knvjJS8pxt+srMJJSUlF7pqIFfwB8tcYQyJBCDIsUcY/AAAgAElEQVTB97h2reSU0YhYWiotlbmOZ84UfgfcDamUv8JgZ3wpdzxxovxPxIHjhzPC2PG9GMTnnsvbUYpJ+uHo0XJcrHonJkr7aZ4NnKHz5/NrNH6CEwPxb2YmOwc8H1x3Vux0KSWqBbt/YiLzFP7yLwtfCB4B9ywRHbgBrOwZT1In164V1j/lpMw7EBJRFCRNxTmw2seR5rmlvBhOBXPKpUs5+rDNIgOB7YZunQFfOubZ5t6Ye+4A5DG8epS9mMQJ+7EPDGIT2DfGlNayrKbpewBbGA+eY+R/KgBYNbESnZ1drlApFYdCKtUDhLpJc7BCPHeu5GcxROwboh36BYuLy3P75G+lElqmVI2owOXLZbVCGR3jiHgQ+8DYeK5BfTy6AQ5XN9t47QD+byrN9c6hJ56dO1fKvzyngNUvnff27i3REgiXvhIDFjireghwnjiKA+Z7EbCaJdpAFAuHCEd3aqoYR1IcEOFu3Mj30eJiOa9r14pELqkZs2LQKQMcHi6cievX83fgmPiICfX2jB0RBO6V8fEcGamTPLnvzbLR9JydlPL3Tk7mY714sTwPTz1V9nXkSNFPoI8CxhkjS0QKJ4USTJpjocdx8mR2OIhc+R4A3rnbtatwPhYX83E+/XSOtEglcuIrVaQi8fySl5RSQxy/4eHsRPD58fHlpaJEN7wTefZsUVfsA8IZCPQGq4kMMPmQ05TKytBrjvN5Xy/MapPQszf+TNq+esCDyYGyNwzV1avF+BPeZWVBSNTv31dV8DlPXqNcilwx23rDjrHHwDOJEDplNc6qBkeGiYQVsGec+3JHGtJgCHFKqJiQlqcbKPGEqOY5BDduLK/Q6DYy4K95N2B8ugEOFWOHKhxOGpEmf/7k070TgAEmEsJqUSqpDaoEPBHVv8d1IqyOA4N4jlTyyNznfh8Y4OHhwnz3TsKZM0UbgBJIyK6zs6WCAqPIdSPdwDNBhQPCU6gHYuyJDKFUiSNCxOzgwUKYI5pHO2paP5NKIw1x+HDeLyx+pHsJry8tlTJeuCx0asRpodIGqWacMsr+kPV+4YVSaUJ1EPMM7Z9xIo4ezf+TYiH6groo0RuidugY8DwgLLVzZ3FIlpZKu2YiENPTmRfBczc1lb+zD1jlUxsIrBHdOgOQ4vyqDUAsrK8GPbOf/CXhdLbzn2uKDpADJXyMccOoMqmzmmN/1CgT0WBlhKNAGJBjg7CEER8bKysEcq4YPNjuKN6x4mM8OR6/0sEJ8iqYfuy9SA7jxESFw7JrV2Gl+1QNUQbO31d+eOW01UQGNgoYecZpaCgbC/gBMMFxnjAShHOlEtqmfBBCplSuvbTc+fM8CgwYzgT3AiD0TXi/bdxY7XKtxsayUUHjgIoScs8YcELP8COk5dwXIk9UAlB5YlZU/1BC5H6B40K0A7XAw4fL99JBEUVLtAV4ttErwLnet68Q6nxUB90OIhuXLhWS52OPZaP8/PP59ZmZ8hxxLWnpTDqAiAYkXl8KTORh//7SzZSUFxUT3BOIR+3YUdJovqnXmTNFBG1mJledcPzoQBCBGR3N+7r33qLbsJ04A4Ftim7KCz0z3+sNEL72RDfAg0bulwkYBT8iAbCtIR96QPRiZU9pHMdNWJccoi9T9ARGz3XAUWCl5x0GVmyE/VMqHc+IEhC2pjwKo8YkxTHw3fAj6vl3X+pIWoXoAEpzCMKQcsE4kddlP4S0/TXw9f9cr34DZ4Bx8teLFSYVG7xPNIjj96tM8r4w/uv3D9tCcCMsf+VK4QIw0TeJb1FpIJUIDaAqYGEhf46VPWme/fvLyprqBIw/Bh9SKtEoqiGefz4bLNJgR47k9/fsKY2WvNInkQPSGgcPFo6Av/dxVKXSIIjnCSEjuBw7dxb9DFbgdAxFCAjy3+7dmdTH52jVDF/guefyfmdni94IjiyRhKmpXO3x3HN5Xzg1/trgXEOCJJLC8czO5mOCqIoCJukCL7h1++2lTJloFRLnVCQgzOTVMnuMcAYCvcNKzgAPog/nY0gvXlzevc7Dr1wxir4ETSplYCMjJVTqow50B/Q6/qzyPPgOQsXScoPvSxdhvDMxYyipD+cYIN7RBY38KhMXXAU4CF5cB4PFsbLa8efG90Jc9DwA360RghWcCIy/N144RITccUa4fpvBEZDKOZNy8lUi1PmTLyZSgAH3kzKpEdj+PoxfB0I7KIxSR04InuvcJL5FtAbHpA5KFhcWsgHF4Pr7geoFUiFUL9AlkYZOIyOFy4KKpZRfu/32PC6UwOFMLC4WQSY4J1xrX9Y7PFz4DRhISHcHDuRxpxshUb6xsbzKP3euyAFfv57/Hxkpqn40KEKNkDbHRGbgR5BKhHTpIzMQGCcmshOBmNCNG0XBEj0PhJuIjniNj7m5UpZKZId76MiRwjnB2bnrrsJ3gDPho0VEEXi9DwhnINA7YHDawHtMBjgDPkTXaTty7eyDcj/qrinXI8fpSYmEIFnRtxk1tmFSwMh4ZwBjizPguyqyDecFnwBHBa0CyrpY9bMSpSUukxCrGa/fX3cGpJKy8OeFY0UtO2WEhIKJMrCaYVvY+mzrr8NmcQY81wQDe/16IXEhlEQqhOiPVAwdERTSICvxFcyKwSC9RLto7l3Pt6hfIxwXn34Bu3aVLpOnT+ecNpK5XKf5+eWOHRoBOL9wDMhvo71A2SbOJytYjBM8iitX8gqfCBbaAVSu8AzAr8GAnzuXDfr0dNZj2LevkGgnJorjuWtXEbeany+GGaeUstnJybyyPn++RDt4FkhvUf3D/oiowEWYmcm/aYYGP4Y54uDBQihEW4R7BclouDXXr+coA3wfnEucZaSf5+dzSfGTT+Zjm57Ox3ThQh4PekT4hUYPEc5AoHcgf+vhJz0fomNiBD58W8fly+XBI53AhCqVFQGSsjDnCe0SFqc23Fcx1A0c4WeYyZRi+dWxV9LD6Pv8tT93UiIYJlb51MrzfT5NwSTEPgnbk6NtW6HXDYwvneTcSNOQckEK2kdpKHf0GhD1c+83fGqEMWalTx6Y+8zn+aVyrkQP2Fc3uVwvhU1on7Hy+2gqwfQltHW1TM+B4D6gK965c9mIHz26vAIFiWJC2bTCxhlCK4LzZZVOA6Xdu0sp6Z49JUKCs0N3Q6IpnpR3/HjRkLj99nwsjAk5fPqIwMWAR4CxPX26nD+rdfp4QE5E7c9fR3g46FLAgfBlwhMT2TDD3RkdLd07cbBxtOgcipYAKTwkplPKDsO1a6UCidQMzyJzGX0iqNbYs6ek6IgW9smhDgJhoHeopwkIR/MQ+xy9X/FCuGsKnxGipCaclTbqdr5pDBPN3r2FACSVnKEXjWkjPDIp+xUckQF//ACDyr4xmF5SuG6giQYg/8s44OgwKRGC9fnuJpVFjqk+0WDoiBhwLD53yrHUQ9c4Cx6bKTLAap/cNREfVtOsNtF+IL/L9fQ8CVakqyV2YcwJybM/ojR1eN5J/X1Y+xhSau1Zse/dW1ruUtlApAxyHlr/9DwgvI4jQGSMNAMlhzw/9NDgXkcy+dKlshqnygHnfWwsE+gQ00ELhHPFYUDOl/tveDhfK1Qa6QkCB4NrghIivA7SIERiLl0q5EtW/jhsvopmfj5/z5Ej+Vgw/vPz5ZxJW9Qdi6Gh7Mx45UUvz02JIRE2iKtEBEiJ0OzIO0E9xCZx4wPbAt4ZICfrRXqYwDFMUsmps/r38EQmDBOTPvk5xEPw/EkH4GAQQoUjwPYYw/p34vUjyUpI2adAvEFkpUz5If0GIH95w8s+IO/58L9XeKNuGWYzEx8VCZ2McqeIAe95x0a6OUpTJ+T5cVptWeFGgkoADAzGDJ4E15yoknRz5Yl3AFbrDKBZ0FT90uYMSDc7X+hE+GoUIkAQXoeGpLvvzp974YVS8++rIXiWRkeL3K8nsSJchVgXeW9W4FJxmkmtSSWP77kHExNF/39ubvm9gqPhRcFIOywsLC8N5Nm8eLGcK2p9Z88WpxzDioMyP18iJnNz+XspFYRsDImS471xI6cxIB+fO1caMk1NFfEnnn/KC6k+mJjIx3H0aFG+PHQofz8VSTifcHN8RdKJE4U70AeEMxDoHTzhiFp+woWsen04lQkb+HC8VLgEPpfLyt23BJZKeRZCLDgcTAKskJm02iID7IsVGNu2OQOcy4ULZTXDys9XGfA5DDnHBaObWnMY/l68hjFhf51CjU3nQzUE79WjMD7PDbmRWnawmcoKAZMseXFSMVev5jGklTErUWn59WQffn+r/X5/fYAnNbbxBqQS8WFF6VUhfYUNkr+jo9khIGdPueGFC9m43Xlnyf9fvlzIqteuFcEenEJSKuhq+GOdnc3vk9fHSeUZ8ukEqRA3vR4I5bKszEdHl4sXcZ18Iy6cOqIERM1wFM6cKYx/SKJSEZzCcBO94Dx990qiNikVhUP0QUhJUEVAhGVyspAVh4by+BCVoYoBx2NmphwPDhDfNzmZrxMKkz1GOAOB3gFDQS20r+UfGiqvg/qKyhsocp31UkMmDMJ3HuPj+SH07XClEr6Uluf7pWbjicNAyJMJtM0gstKG0Mi5cAxszyqOlR4RASZ9XocN7ksw/XG1RQbaqjlwTFh51SMBjIlv/FMn023WyIBUnEjvdHmZan8veCetvp/VosmhkMo1beMN4MDgpJHG8CWyZtn4kXaCWHr4cCaoLS1lYymVcPqVK6UvAK17PWmU2nvGxetJwKtBiwHHmtw9pXK0Kj53rqgNnj5dVuc8n+j0U2VBOqYeKcRA+moLBJoQSUJoicobGPuQh1l80HhJKhVDPrqHsw358/LlzHVA9pnvpSyVa0JzMKJyhw9nh2VurhCBGUfG7vTp4uDfdtvyqp7p6bXdb7eIcAYCvQMGipKuejgdNb62bZmcmBAwinWwQqlP4kQayCP6idgzyP2xNoFVkA/R8p1N23ohIiZZJnzSIkzwXgIYQ0U+c2qqGGEmT8LFfJ5xauIMNFVz4KR4h4TP+ePDYWq6dtLmjAz41X79XiD0zjWRbuYLgLYqlpXAWNX353kD9fvXk1O5J1lVoyFAiFoqTjGtdOE+wFZnVXruXHYOZmezgTt1qoSk0dcgPeZ7WXghrunp0oeB94l8kBfn/t6xI5fTTU8XRUGidOfOlSgEIkJofxAdgCQIO5+W5FRJXLmSiYloERBBuH49/43Dw7NOy2WqMXykC4VGfiYncyUBjZ2kkqLhnvFlnfAaFhZKNQDz08hIvjanTxdnjMZZlENzLR9/fHlH1B4jnIFA74DRHBtrXkGuZIAJKRKyayv1wjA3rciYSPDwQX1F2CkywOqc8D0TeluawE+arCak5WkP/30+7D86Ws7bcwlwhKih5rgw5E3G2nMh/HlLJezvHQZ/fBx3U8Sl07n3E55E2Ol9UOcLgFuJdrRVV3TDG1haKittVp179y7Ps2MAz57NK1EIblNT2fCwsvZ9HPzKemoq56q9YBAOwoULeeXNfUepIatoRHZIN7CP0dFMxGPlSyifslk4LzRtgvUPH+L550vHQcLxUjkOdAzQGeC58rLKtEjGSRgaKvvBWWKe4Lg5prpuwp49ebvdu/Nr9BugfPHcuVJ+SItrHJyTJ0uJ6cJCqabwlQNECTl/Gj/1GJsophcYeLACXkv5GYasLtnbhCbyF4BtjFMhlVV603F1cgZ8WZb/rDcwhHshYvlStSYj5fP9nvDl68f535fC+RV80zFzfk2lnXwXk58PawJqpdtWLU35782AJqOLM4WWgi9B9XyBjT4un+Kpv0c+m5WwVFb9nBOfIxxO6ojKgkuXslFllYzwD6tnL+KFONL166VenqqEhYUS5YBMRzMlWP+TkyXaMjmZDSulhhhRauql5akwnFpIuVwDSgCR7vUhdAy379tAaaK/RyED4ujynfCUvF4GaYT5+SLjzHbIK/MMs4K/eLH0GaHkkJbSpIMQTkLsiPbJ/nmbn8+vzcyU9E6PEZGBwNaAD3930nGXykTfZLioiybMiQARoc+m76wDZwCyFN/TtCL3zkBTeVmdIMn7gPDktWul9ItcbVPNOiJB9WMg4lA/H7atlxz646m/3oTNVFboAYkQUA5KrhryGYSvXukkcO1Ygdbf87X/UklV+AocyKi0yuWehkfz7LOlxTDnB1P9/PkixUyXS9j5rLal4oDv35/vdYyklI0vbX2feSa/NjdXwunck4TCERHatat0GfV8lfPnS18D7ldfbomjgKMBtwCiIykGnChC+p7TA1cJRUWiXTj3RPDo+wDJESIlEQE6SqZUBJwQH6K5GJUkOBUQnnEuvDrppUuZO0DXxD5gE7rygUADmBRQJOsEQpWd9kOelJrfJsehzRmgvJCVnV9J1w0iYfy6kWkK2TeR8EZGClu5Xq/exHQn1OiPm799GaM/vvq5rxReb4Ifh80E7zD53z5tQ3i5iS+wkceFQ9j0HqtkDKZvmkRennsIiWCzosjH/YIjhLPrOS6sjmHvQ3ClT4KPJBFa99GM+fkiZDQ6mle+s7NFN8RzhHhuvVG+fr2IfPmoB1EMFDz5fpzv3buzoaVygNJijg2VxAsX8jZwBXzZLQ4QkQV4B0QCaGvM9RgdLeTj6enC66BNOOO7e3fp14CjAgdj584i6Uzq8NSp0rvi6tXsuB08uDH33ArYhE9vINAAHrRbNThMTF5oiDxo02ebnAGpTJ5MLm3Kf0zGTQx1DBBoIuH56gHe8/8zHmzjV3T1/dbf8+TBOpqclU7oo3JaR9RTMp4jIZXriNHpJXmLyoG6Q4Cjykof57ZJN4HwPtK2yPxeu1YY9V6fgKiRb+CFCBO5a+45vl/KRgwNAKk8NxMTmT1PO2SqH+AHkKqAp8B5o8CH6A5qfDDuSQ/gqA0NLedNECEgv2+WjwcngeeR9BwkQSIHOMykDVnx42hRhcB2OC+Li/kccJbg9EiFPDg3l8mNUkmzoORJVQPRApwZZJOl7tt0rzPCGQhsP0BiHB8vYc02Z6ANhNyZgBcXmyMAbc4A/3tD0JQmkAqjGjBp+c/6sjn/vX6/OBAXLxailN/GYzXOwGYsKwQ+JSOVMDtgtdxLvgCAs3DxYllNY1C4J2/cWM4Z8FoQkPHQm+BehGC7b18+H/T2MT70HqAfBpr7qA1KxenEeJ48WTQARkbyyjulQhAkmgSxFnIhehw4EtPThYRKjp5z5jhI4zAGvr2xlyXHYUG6m9bChw5lp4AWzjguFy9mcp9ZXtH7Zw+uBIsOmhaRVjlzJr9PxIbqHx8pQRYcDsP4eNnX4mKpKJibK7LFOF6Tk+X69QnBGQhsb/j65bquQadQOaszQssoGjZFBppe92FiX9rWZIw65bHrkQEmGD/R+TQB4UjfkbEtMuAjH53Ad21GZ0BaHoVZWrr5OiNw0+uSLgwiK2ffnAuSG8ROzkNans7gPhoeLgaazpuQD2nUc/VqkdflMxjselkrx3f5clEQnJ7Ofy8uZnVBwt9erIvKgcnJ5eWyrPj9GBPep9eCF0vyn8dAogMAvDonZX44JQcOlC6g3nnYtat0KSSC4aMvFy+WcyRyIJVzRByJ54JyW9RQiTT4UkiiCpyTVBYjiB/BXaAzYx+0BsIZCAQ6KcK1pQmILlBO1GQwIT11Ki/zTshaSHj1yIBUwp7Anxc5WYhnUvN3duJB1LHZnQEm43qKAOAM9Io86AEhlvw9teee2+A/S8SG+883mrp6Na9kx8aKoaS9MYJeGB0iCkQl4NH4ElQks0k5sIqHeDs1VRwJql0YR6Ie0s16DsBfB0R+qGBYWsoGEWeICA/y4TxbECfrBGCz0mNg//7l7124kHP1OFKIGuEsUmVBaaVXQaStMWNGOgKJ4enpIkZGx0hSJNPTRaAI8vDsbPkexreJR9IDhDMQCFACVNfb78QZ8IavzVgyUdRXosCrzXn9gNUeuycWsl9pucxw/Rg7kSyl5bn2lYy8V2HcjGA8cJCadAQg4PULrHB9uJ1wsweOHlwAmuKwYoVoSB2+L8c9cuRmZUmcJO516v0h16JOSG77ypVsuC5dKrK5EO+kwkGQisPpyyPrIGrjnSL6HlDlQSUFUTqMLyV+vszSA05CPbqHyA/PNkRCIjE4ZHyPlxGnhFMqDoBU0k9EBahaoJ3x1as5feFFpVB0RB774MHswHj9kx5ik7rygUAPQa643pmPyaWtooBQaxsITbcZeF7HIVgLI58J0U+EdQb9WjQA2soLm9BUkbCZwLl3Os7N4MjUHaqmY62TQOsaF7DWCWkj0btjRwlbewNGzrreI4RcO42+aN1LOJycO8YevQOcGp4n0i9t417npnDMlC36VTLXkde9imjTM0Z0AuelvuI+cKA0YdqzZ3mEg2cbzgB8AFb1Xovh5Mmi50AkECeFMYeLgHPly4q5JjzLbY7TBiOcgUBAKrlPb/g7OQPdGG5WPJ0mQvKF60nCq/MG1upkdFNe2Cbhu5ngjWw/UgHrCe/oQXozK8aKunoUB0dHS5khIWi4Aay8h4Yy4Q5ZYano/U9MlPbDdD4cH8+hd59Kksr9gvFHw6OTcfNEXP/axMTyCgL/HtU/nkzYRoLF2EMipGUy3AqiJ5RU+ugM44dTAbcAY04kwOsH3LhRokxcH1qmUy7JGPlUzr59+Vjm56NRUSDQVzQpCq4kskOesQ1Ngj51kCro5jtXA8+DWOt+Vzo/qb0CYrOBiXozOy3dAINPeH98PBPlaPzThLGxUj7o2zf7UsKxsWzELl3KYW16CUxPF5IjOX2viMl+MKA8F8PDpTyy05g3CWdxnrt2Fb4DqQtEoiDY1cmVHr5klA6V5PB53z+fbfcy6psQb9EJgLToeQxERlhc4NQwDjhTpKx27y5VIqgwrvTMbRDCGQgEpOViRHXD3Cky0Pbg3rhRHItOhtg3hJHWz6gipnMr++0mMtBGyttsQHBpsx9nN2BVKWWDhPIe9fUYJ0DkhtA25YJDQ4X8OjKSQ/NUCly8WFIH4+OlU59UygmpBiDELZWUFIJHnXgp0vLoWN2ZwUk5f760aMbYeiei7RkkRQFJEoIeEsGcD6H7emWOB5EWnmscqR07ShmlV4wkYrC0lCMDi4tlv6RPkDiGZ8BxePJvD7HJ3flAoIfwE4RHJ2egrR7fK9qtFBmQSghyPSMDUueKgZXQjdbAZu1JUMfYWOeumFsJ9fI8DAoiRIStASRTFPO4J3EOSBWQr4agiOQuaYWpqfw6JYm7d5eeBJ7cR/SiUy8Lj073WT0VAUHy6tVsQNEDqEtwS8u1C3ypIMqHRCN27Solhivdy5Tn+t4gcHY8d8fzgUibsG+iONyPvtLCEyZ7jIgMBAKA0GadndzmDHgyV30SYWIhf98G71Csp1H1ZWh8z2rRTUVBL/X8bxWbgSS4HqhrDKB/D3GPBkF1LC0VI0bqwBtrauDpYUDpIgaNffMZ9kWIe60kWB/p8CDMjzwyIf7FxXIOpA9g/QOvbUCZJI2NWLHv2ZOdJ9+wqpt7uV6tQ9TFj6VP5/iIA4sN75j6FAvqhH3AFnDpA4EewXvzUnfOgFe38+/5HOhKRohJZL1X2Ox3rUawviqrYyuQBwcRntwmldUqNfdNq2wcQ4xoUyMvwv4pFWnheiMt7m0+jwH10YG1OAPSzat79AaIBvgSxpGR4vSgvui3J5oxPFyknGm05Ml/pAUZy26elXqpqhfo8iBa43k7jJcfVy8YtrhYOA09RjgDgQDw3jz/t4FyqqYQZ12EZ6UJpi4tvF64VSdjpfLCrUIeHESQO5eWqxC2hdx5HePoc/neiNH+mKgWjH2fBmhyBsyWG8fVgNU18sp8D6t977RQekj4XyocArYlr885ksu/fj1XS6DhgLKhl2TuxrHFGUN8qW3RwPXBSeF93zpaKuTWK1duLqfsIfryFJvZrJk9ZGaPVb9nWj73h2Z21sw+Xnv9bjP742r73zazFVgqgUCXYGXly6XaIgNtzgD5/26FeJjMN2tkoM0Z2CrkwUEHNf4Y1TZngNXrxEQxlLDjuZbU+Pt9+33iDHBvU0Pvnei1lLGOj5cuhVQuYHSbzqV+jj46AKHRO0tsRyoFgSWpOAIIOXUDUiTeeNcjGz4F6FME9XOC/8A49Cnt1i+X/t2SHk4pvVjSw9X/TXi/pLc1vP7zkn6h2n5e0ts35CgD2w91A7hWZ6BN+a8JZu153lsBYdJbmVw6kbsGoVRv0MD1qt+zbfwPDJkPTdcjPqz8UdT0170ufnQrDq3vrEiDpqbnp6mKB4eEBlw+ciCVyIFPkUC0XOvzQedCnA+UBT28Q06pJWN55UpRJ0TkaMeO7RUZkPQWSR+q/v6QpO9s+lBK6WFJC/41MzNJr5P0kZW2DwRWjbp6X1t5HYa+PikyEfue891go8htTDBrRafyya1SSbCd0BbNaXsdYSyvJugdXWl5Iy0+UyfPrleqa3S0VDm03bdt6avR0XKv1rf1okG0NfZcgbUC4iAiUPV8v+9OyryA+BGlj5Rusr9tRiA8kFI6LknV7/2r2HavpLMpJWrAnpV0W9uHzeydZvaImT1y6tSpNR9wYJugrt7XZgzrE6ZvkSuVdMNWZ7C3OUNBHtycaDP6TYqSGCjfz8C/74ltpArqba/X2xmQVjbSbeeI2A+pAA//HBIxm5vL/Ihbxa5dpeqi3gvBRwKIDkCKRPWQNGGfnesNS06Y2SclHWx46yduddcNr7VKNqWUHpT0oCTdd999/ZF2Cmwt+ND4SpGB+sTkSwrX0oVws8Hnmv25BF9gc6ITz6Oe8vHXcGys1O3X722pGHtWs77ShPt9fLw3xqzTOXZaVXNObL9ex4pmw9JSFkgaHV1eOoiSIulDykDr++iT8iDYMGcgpfT6tvfM7ISZHUopHTezQ5JOrmLXL0jaY2YjVXTgiKTnbvFwA4ECyFA+zO+9dk8ulJbnaWEx1z+zVeHP39TqlEsAABC8SURBVBv+qCTYvOhUUeBFtbjHL18uq1tWrt7gS4Vx7zv11Z3EXjmGvi6/W3g1xI04Tng/V6/mTpKUPEql3fLQ0PIqEI9upL83GP16kj8m6YHq7wckfbTbDVNKSdKnJH3XWrYPBFaE5w00lQ21OQN+pVUvL9yqaNMaCPLg5kUnZwAD7oWCkMOGsOfva7/t8HBRx/MphX7c491IZQMcdY59o47XLAsZDQ/n3g5nzhQpZXpCtDVtWqmMtwfo10z1PklvMLPHJL2h+l9mdp+ZfYAPmdlnJH1Y0v1m9qyZval668cl/aiZPa7MIfiVnh59YLDRFA3gIfXiIn5FhJypVMRMfHnTVkXTJIUhCWdgc6KbioK2clj09qWbo1rk43fuXB4h6Icz0I1UNsAx37mzNGbayOOamSntjBcXS9+BlVIYUl+jA32ZqVJKpyXd3/D6I5Le4f7/lpbtn5D0mg07wMD2hicR+p7jtEGtq5UxuXhJVN/waCujjXgmDcb5DSII5yO/C+rOgO82WHdkm8iv3Pejo6V7oNSfVFg95dEJODroMGw0vKgTkZeVepSspPbZA2zxGGYgsEEg1O+NIZMfYiXeGfAPPbnYQTGW9VWYn1wDmw9DQ8vz//517mVfOgvHBePaVhKLCBARBF7rlzMgdRcd6Gf/DLN8LVaKRmzjNEEgsLmBaBCpAu8M+IlUKu/z2UFJEYA6uWlQoh6DDHLT9QZAaAr4exiBHpyBbkpi4Q/cap3+WtHtSnqrlMBugjRBOAOBQBP8ysOsiImw8q9PljgOvD9IxtKnCbx4SmDzghV/PTrgya1Ed+o9Obqtd/eM+V6j25U057TZnQFpdTyIjfj6vn1zILCZ4SsKhoayM0AXtyZyFqVOg2gsvWO0lSbX7Q6aDHlVvLqTy31Kt8J+kgJXg27TBDy/m/18pL5rDWyBEQoE+gRWUaQAfJOT+kNLvfWgpQikm50BVNUCmxtEB65fb++kiVNXbyO8Fa5vNyvprVT10metgXAGAoE2eP0AKgw8lwDwAA8Pl2YkgwQvuVwXHwpsbsAHIDrgV8heZRAHdivpY6xkPGkctFWex9VoJ2wAtsAVDwT6BAx/nY1cD+eRY603dhkUsEpk1Tho5zfIoAKARkRDQ7nevakaxF/XreAMdDKeN25kBwhthK2APpMIt8AVDwT6BN9+lH7pUrPGO1GDQUsRAFZhWyX/GijYsaM0IvJlg/X7dD2bDfUCnVJ2ly7l973OwmZHn7UGtshVDwT6AOqy6ZXOxFNvW4wzsGPHYDoC0uBGPbYLdu4sfQjamkxxr28lZ0C6OTpw6VI+VyIgWwV91hqIJzsQ6ATkS2lNijNA/pwoAeHXQUU4A1sbQ0M5XUBPgXpXQrCV7uGmlfTVq/nZ3GjZ4Y1ApAkCgU0MVkpe752IAWWE24FUR9e6QT/PQcboaLmPB8Gpq6+kr1/Pzs6OHUUWfCsh0gSBwBYApEEeVJjXbSHXQYPvWBfYuuAaDoozAIlwaSmnQLb6fdrHioIBuCMCgR6gTlaiU2E/27gGAqvF8LC0e/fWyqV3ApGOS5fy/1spzdGEPgoPxQwWCHQDJk/fsQ/FNtIGgcBWwCDdq3QXXVraeoTBJuzaVfpK9BjhDAQC3cAL70glzLod+AKBwGYFz+XOnYPxHPaxdDfSBIFAN6hruvsHNlIEgUB/QHvgQeBA9BkxiwUC3cCHH9t03QOBQG8xqCJffUA4A4FAt2hr8hKRgUAgsMURLlUg0C1wAvg9Ohod/AKBwEAgljSBQLcgAuAjBJEiCAQCA4BwBgKBblGPDAQCgcCAIJyBQKBb1DkDgUAgMCAIZyAQ6BbhDAQCgQFFOAOBQLegTXHwBAKBwIAhqgkCgW5htrWboAQCgUALIjIQCAQCgcA2RzgDgUAgEAhsc4QzEAgEAoHANkc4A4FAIBAIbHP0xRkws1kze8jMHqt+z7R87g/N7KyZfbz2+q+Z2ZNm9mj186reHHkgEAgEAoOHfkUG3i3p4ZTSiyU9XP3fhPdLelvLez+WUnpV9fPoRhxkIBAIBALbAf1yBt4i6UPV3x+S9J1NH0opPSxpoVcHFQgEAoHAdkS/nIEDKaXjklT93r+Gffysmf2Fmf2CmY21fcjM3mlmj5jZI6dOnVrr8QYCgUAgMLDYMGfAzD5pZp9v+HnLOuz+PZJeJukbJc1K+vG2D6aUHkwp3ZdSum/fvn3r8NWBQCAQCAwWNkyBMKX0+rb3zOyEmR1KKR03s0OSTq5y38erP6+Y2QclvesWDjUQCAQCgW2NfqUJPibpgervByR9dDUbVw6EzMyU+QafX9ejCwQCgUBgG6FfzsD7JL3BzB6T9Ibqf5nZfWb2AT5kZp+R9GFJ95vZs2b2puqt3zCzz0n6nKQ5Se/t6dEHAoFAIDBA6EujopTSaUn3N7z+iKR3uP+/pWX7123c0QUCgUAgsL1gKaV+H0PPYGanJD29jruck/TCOu5vUBHj1B1inFZGjFF3iHHqDtthnO5MKa3Int9WzsB6w8weSSnd1+/j2OyIceoOMU4rI8aoO8Q4dYcYp4LoTRAIBAKBwDZHOAOBQCAQCGxzhDNwa3iw3wewRRDj1B1inFZGjFF3iHHqDjFOFYIzEAgEAoHANkdEBgKBQCAQ2OYYKGfAzG43s0+Z2RfN7Atm9k+q12fN7CEze6z6PVO9/jIz+6yZXTGzd9X29a1m9mUze9zM2losy8z+0MzOmtnHa6/fbWZ/XH3nb5vZaIft/7w63l82s+Hq9bdWry2Z2bqyXddrnNr20/KdjeNpZveb2Z+a2aNm9r/N7EUt22/ZcXL7GzazP6vfK7XPPFDt9zEze8C9PmpmD5rZV8zsS2b2d1u2bxunxmO+VazzM7fHzD5Snd8Xzeyvtnxnx2fTzH7JzC50OOaejlG17/Ucpx+p9vF5M/stM9vZ8p033UtmNm5m/70a4y+Y2ftatm39nJndUZ3Ln1luFvfm9RqnQB+RUhqYH0mHJL26+ntS0lckfY2kfynp3dXr75b089Xf+5WbHf2spHe5/QxL+qqkeySNSvpzSV/T8p33S/p2SR+vvf47kr67+vuXJf1gy/ZT1W+T9Ltum5dLeqmkT0u6b5OOU+N+Gr6vdTyrbV5e/f1Dkn5t0MbJ7e9HJf1m/V5x789KeqL6PVP9PVO991OS3lv9PSRpbpXj1HjMm2mMlNuZv6P6e1TSntXcS9X790n6dUkXOhxzT8donZ+52yQ9KWlX9f/vSPq+bu8lSeOS/qYb489I+lsN27d+TjnP/oPV318j6an1fO7ipz8/AxUZSCkdTyn9afX3gqQvKj88b1GeaFT9/s7qMydTSn8i6VptV6+R9HhK6YmU0lVJ/6XaR9N3Pixpwb9mZibpdZI+Uv/Ohu3PV3+OKD90qXr9iymlL3dx2qvGeo1Th/3U0Wk8k6Sp6u9pSc+1HPOWHSdJMrMjkv62pA/U33N4k6SHUkpnUkrzkh6S9K3Ve98v6V9U37OUUmoUSmkbp7ZjvlWs1xiZ2ZSkvyHpV6rPXU0pnW34ytZ7qVrhv1/SP1vhmHs6RtV3rtu9VB33LjMbUTbaTc9M472UUrqYUvpU9R1XJf2ppCMNx9vpc109s4GthYFyBjzM7C5JXy/pjyUdSFWnw+r3/hU2v03SUff/s2o2cm3YK+lsSul6N9ub2SeUOzcuqDgQPcEtjlPbfuroNJ7vkPQHZvaspLep6lPR8h1beZx+UdlILXX4TOM4mdme6v+fsZxS+bCZHehwrE3jtOZr2y1ucYzukXRK0ger8PMHzGyi4XOd7qV/LOljqXQ17XSsfRmj6rvv0hrHKaV0TNK/kvSMpOOSzqWU/kfDR1ecw6r76tslPbzC8dY/988lfW/1zP6BpB/utH1ga2AgnQEz260c/vunbhWwql00vLaasotVbZ9SepNyGHFMOaLQE6zDOHW7n07j8SOS3pxSOiLpg5L+Tdv3bNVxMrNvk3QypfR/V/pow2tJeSV4RNIfpZReLemzygahEf0Yp3W4l0YkvVrSf0gpfb2kReWw+U1f1fBaMrPDkt4q6Ze6+bItfC/NKEcT7pZ0WNKEmX1v00cbXvv/c1AVVfgtSf82pfREh+9r+tzfU07nHZH0Zkm/bmYDaUu2EwbuAprZDuWH7TdSSr9XvXzCStvjQ8orgk54VtLt7v8jkp4zs2+yTHR71My+o8P2L0jaUz1Ifvtht/1P+w1SSpeVWzs3piPWG+s0To37qchSnOcPqH0890l6ZUqJaMJvS/rmARynvybpO8zsKeWw9uvM7D833E+N4yTptKSLkv5r9fqHJb16leO06mvbLdbxmXvW3QsfUT7Hru4l5ZX2iyQ9Xo3zuGWC4aYYo2qf6zFOr5f0ZErpVErpmqTfU35mur2XwIOSHksp/WL13W3jtOxzFd6uzFVQSumzknYqa/wHtjD60rVwo1Dl6n9F0hdTSn6F+TFJDyiHoB+Q9NEVdvUnkl5sZndLOibpuyX9/ZTSFyS9aqXjSCklM/uUpO9SnvwfkPTRlNINv321SphMKR2vHIc3KxN1NhTrNU5t+0kpHdXy8xxRw3hKmpc0bWYvSSl9Rbmd9RcHbZxSSu+R9J5qn69VJoSxmvPnOSvp56yw2N8o6T3V/fT7kl4r6X8qk1b/cpXjtNpnoCus4xg9b2ZHzeylFQeEc+zqXqqezYPucxdSSlSm9HWMqu9dr7npGUl/xczGJV1SHqdHKidqxXupeu+9yrl+3yF22b3U9jl3DPdL+jUze7myM3BqheMObHakTcBiXK8fSX9dORT2F5IerX7erJzDf1jSY9Xv2erzB5U96POSzlZ/wzR+szLj96uSfqLDd35G+UG4VG3/pur1eyT9H0mPK6/kxhq2PaDsePyFpC8ohzhHqvf+TrW/K5JOSPrEZhuntv20fGfjeFbn+TllVvinJd0zaONU2+dr1VJNUL3//dU987ikf+hev1PS/6qO5WFJd6xynBqPeTONkbIxeqTa139TVUnR7b1U+0xjNUE/xmgDxumnJH1J0ueVKydumlva7iXlCEFSJjByHO9o2Lb1c8oVBH+k/Mw+KumN6zVO8dO/n1AgDAQCgUBgm2PgOAOBQCAQCARWh3AGAoFAIBDY5ghnIBAIBAKBbY5wBgKBQCAQ2OYIZyAQCAQCgW2OcAYCgcCaYLnL4A9Vfx82s55KRAcCgfVDlBYGAoE1odLY/3hK6RV9PpRAIHCLGCgFwkAg0FO8T9K9ZvaosmjOy1NKrzCz71Puvjcs6RWS/rVyd8C3KYtDvTmldMbM7pX07yTtU5Zb/kcppS/1/jQCgUCkCQKBwFrxbklfTSm9StKP1d57hbLk9Gsk/aykiyk3IPqspH9QfeZBST+cUvoGSe+S9O97ctSBQOAmRGQgEAhsBD6VUlqQtGBm5yT9fvX65yR9XdUj4JslfTjL9kvKHQQDgUAfEM5AIBDYCFxxfy+5/5eU550hSWerqEIgEOgzIk0QCATWigVJk2vZMKV0XtKTZvZWKXf1M7NXrufBBQKB7hHOQCAQWBNSSqcl/ZGZfV7S+9ewi++R9HYz+3PlDoJvWc/jCwQC3SNKCwOBQCAQ2OaIyEAgEAgEAtsc4QwEAoFAILDNEc5AIBAIBALbHOEMBAKBQCCwzRHOQCAQCAQC2xzhDAQCgUAgsM0RzkAgEAgEAtsc4QwEAoFAILDN8f8A/q8dEaxMZKkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 6))\n",
    "ax = plt.subplot(111, xlabel='time', ylabel='alpha', title='Change of alpha over time.')\n",
    "ax.plot(trace_rw['alpha'].T, 'r', alpha=.05);\n",
    "ax.set_xticklabels([str(p.date()) for p in prices[::len(prices)//5].index]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As does the slope."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T21:07:03.183325Z",
     "start_time": "2018-12-27T21:06:54.190826Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 6))\n",
    "ax = fig.add_subplot(111, xlabel='time', ylabel='beta', title='Change of beta over time')\n",
    "ax.plot(trace_rw['beta'].T, 'b', alpha=.05);\n",
    "ax.set_xticklabels([str(p.date()) for p in prices[::len(prices)//5].index]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The posterior predictive plot shows that we capture the change in regression over time much better. Note that we should have used returns instead of prices. The model would still work the same, but the visualisations would not be quite as clear."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T21:07:07.822626Z",
     "start_time": "2018-12-27T21:07:03.186819Z"
    }
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'prices_zscored' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-25-e263996b6d9b>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m     15\u001b[0m                 c=mymap_sc(colors_sc[i]))\n\u001b[1;32m     16\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 17\u001b[0;31m sc = ax.scatter(prices_zscored.GFI, prices_zscored.GLD, \n\u001b[0m\u001b[1;32m     18\u001b[0m                 label='data', cmap=mymap, c=colors)\n\u001b[1;32m     19\u001b[0m \u001b[0mcb\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolorbar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msc\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mNameError\u001b[0m: name 'prices_zscored' is not defined"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 6))\n",
    "ax = fig.add_subplot(111, xlabel='Index', ylabel='Stock', \n",
    "            title='Posterior predictive regression lines')\n",
    "\n",
    "colors = np.linspace(0.1, 1, len(returns))\n",
    "colors_sc = np.linspace(0.1, 1, len(trace_rw[::10]['alpha'].T))\n",
    "mymap = plt.get_cmap('winter')\n",
    "mymap_sc = plt.get_cmap('winter')\n",
    "\n",
    "xi = np.linspace(returns['index'].min(), returns['index'].max(), 50)\n",
    "for i, (alpha, beta) in enumerate(zip(trace_rw[::15]['alpha'].T, \n",
    "                                      trace_rw[::15]['beta'].T)):\n",
    "    for a, b in zip(alpha[::30], beta[::30]):\n",
    "        ax.plot(xi, a + b*xi, alpha=.01, lw=1, \n",
    "                c=mymap_sc(colors_sc[i]))\n",
    "        \n",
    "sc = ax.scatter(prices_zscored.GFI, prices_zscored.GLD, \n",
    "                label='data', cmap=mymap, c=colors)\n",
    "cb = plt.colorbar(sc)\n",
    "cb.ax.set_yticklabels([str(p.date()) for p in prices_zscored[::len(prices)//10].index]);\n",
    "#ax.set(ylim=(100, 190));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
